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M. Mursaleen | Aligarh Muslim University - Academia.edu

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Mursaleen" border="0" onerror="if (this.src != &#39;//a.academia-assets.com/images/s200_no_pic.png&#39;) this.src = &#39;//a.academia-assets.com/images/s200_no_pic.png&#39;;" width="200" height="200" src="https://0.academia-photos.com/599035/2847060/3324298/s200_m..mursaleen.jpg" /></div><div class="title-container"><h1 class="ds2-5-heading-sans-serif-sm">M. Mursaleen</h1><div class="affiliations-container fake-truncate js-profile-affiliations"><div><a class="u-tcGrayDarker" href="https://amu-in.academia.edu/">Aligarh Muslim University</a>, <a class="u-tcGrayDarker" href="https://amu-in.academia.edu/Departments/Department_of_Mathematics/Documents">Department of Mathematics</a>, <span class="u-tcGrayDarker">Faculty Member</span></div></div></div></div><div class="sidebar-cta-container"><button class="ds2-5-button hidden profile-cta-button grow js-profile-follow-button" data-broccoli-component="user-info.follow-button" data-click-track="profile-user-info-follow-button" data-follow-user-fname="M." data-follow-user-id="599035" data-follow-user-source="profile_button" data-has-google="false"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">add</span>Follow</button><button class="ds2-5-button hidden profile-cta-button grow js-profile-unfollow-button" data-broccoli-component="user-info.unfollow-button" data-click-track="profile-user-info-unfollow-button" data-unfollow-user-id="599035"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">done</span>Following</button></div></div><div class="user-stats-container"><a><div class="stat-container js-profile-followers"><p class="label">Followers</p><p class="data">143</p></div></a><a><div class="stat-container js-profile-followees" data-broccoli-component="user-info.followees-count" data-click-track="profile-expand-user-info-following"><p class="label">Following</p><p class="data">16</p></div></a><a><div class="stat-container js-profile-coauthors" data-broccoli-component="user-info.coauthors-count" data-click-track="profile-expand-user-info-coauthors"><p class="label">Co-authors</p><p class="data">9</p></div></a><a href="/MMursaleen/mentions"><div class="stat-container"><p class="label">Mentions</p><p class="data">1</p></div></a><span><div class="stat-container"><p class="label"><span class="js-profile-total-view-text">Public Views</span></p><p class="data"><span class="js-profile-view-count"></span></p></div></span></div><div class="ri-section"><div class="ri-section-header"><span>Interests</span></div><div class="ri-tags-container"><a data-click-track="profile-user-info-expand-research-interests" data-has-card-for-ri-list="599035" href="https://www.academia.edu/Documents/in/Topological_Vector_Spaces_Locally_Convex_spaces_Sequence_Spaces"><div id="js-react-on-rails-context" style="display:none" data-rails-context="{&quot;inMailer&quot;:false,&quot;i18nLocale&quot;:&quot;en&quot;,&quot;i18nDefaultLocale&quot;:&quot;en&quot;,&quot;href&quot;:&quot;https://amu-in.academia.edu/MMursaleen&quot;,&quot;location&quot;:&quot;/MMursaleen&quot;,&quot;scheme&quot;:&quot;https&quot;,&quot;host&quot;:&quot;amu-in.academia.edu&quot;,&quot;port&quot;:null,&quot;pathname&quot;:&quot;/MMursaleen&quot;,&quot;search&quot;:null,&quot;httpAcceptLanguage&quot;:null,&quot;serverSide&quot;:false}"></div> <div class="js-react-on-rails-component" style="display:none" data-component-name="Pill" data-props="{&quot;color&quot;:&quot;gray&quot;,&quot;children&quot;:[&quot;Topological Vector Spaces, Locally Convex spaces, Sequence Spaces&quot;]}" data-trace="false" data-dom-id="Pill-react-component-23be7a4f-6aa4-47d8-9644-a196b98b6ed5"></div> <div id="Pill-react-component-23be7a4f-6aa4-47d8-9644-a196b98b6ed5"></div> </a></div></div><div class="external-links-container"><ul class="profile-links new-profile js-UserInfo-social"><li class="left-most js-UserInfo-social-cv" data-broccoli-component="user-info.cv-button" data-click-track="profile-user-info-cv" data-cv-filename="MyCV2.pdf" data-placement="top" data-toggle="tooltip" href="/MMursaleen/CurriculumVitae"><button class="ds2-5-text-link ds2-5-text-link--small" style="font-size: 20px; letter-spacing: 0.8px"><span class="ds2-5-text-link__content">CV</span></button></li><li class="profile-profiles js-social-profiles-container"><i class="fa fa-spin fa-spinner"></i></li></ul></div></div></div><div class="right-panel-container"><div class="user-content-wrapper"><div class="uploads-container" id="social-redesign-work-container"><div class="upload-header"><h2 class="ds2-5-heading-sans-serif-xs">Uploads</h2></div><div class="documents-container backbone-social-profile-documents" style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by M. Mursaleen</h3></div><div class="js-work-strip profile--work_container" data-work-id="126084333"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/126084333/Onsomenewdifferencesequencespacesofnon_absolutetype_I"><img alt="Research paper thumbnail of Onsomenewdifferencesequencespacesofnon-absolutetype I" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/126084333/Onsomenewdifferencesequencespacesofnon_absolutetype_I">Onsomenewdifferencesequencespacesofnon-absolutetype I</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequenc...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequences which are theBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spacesc0andc, respectively. We also derive some inclusion relations. Furthermore, we determine the -, - and -duals of those spaces and construct their bases.Finally,wecharacterizesomematrixclassesconcerningthespacesc 0. /andc . /. ’2010ElsevierLtd.Allrightsreserved.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="126084333"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="126084333"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126084333; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126084333]").text(description); $(".js-view-count[data-work-id=126084333]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126084333; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126084333']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126084333, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=126084333]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126084333,"title":"Onsomenewdifferencesequencespacesofnon-absolutetype I","translated_title":"","metadata":{"abstract":"a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequences which are theBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spacesc0andc, respectively. 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We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investigate inclusion relations between newly formed sequence spaces and compute the b-, c-duals. Moreover, we characterize several classes of infinite matrices and give some interesting examples. Finally, we study aforesaid sequence spaces over n-normed space and demonstrate their several algebraic and topological properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="8708f8a32d34c5c60e2d408470197f7a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:120016158,&quot;asset_id&quot;:126084291,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/120016158/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="126084291"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="126084291"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126084291; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126084291]").text(description); $(".js-view-count[data-work-id=126084291]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126084291; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126084291']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126084291, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "8708f8a32d34c5c60e2d408470197f7a" } } $('.js-work-strip[data-work-id=126084291]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126084291,"title":"Linear isomorphic spaces of fractional-order difference operators","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. 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We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="54a6b3dfe075269439b641bfd24c749d" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:106058366,&quot;asset_id&quot;:107375490,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/106058366/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="107375490"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="107375490"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 107375490; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=107375490]").text(description); $(".js-view-count[data-work-id=107375490]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 107375490; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='107375490']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 107375490, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "54a6b3dfe075269439b641bfd24c749d" } } $('.js-work-strip[data-work-id=107375490]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":107375490,"title":"Approximation by Jakimovski–Leviatan-beta operators in weighted space","translated_title":"","metadata":{"abstract":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.","publisher":"Springer Science and Business Media LLC","ai_title_tag":"Generalized Jakimovski–Leviatan-beta Operators and Convergence","publication_date":{"day":null,"month":null,"year":2020,"errors":{}},"publication_name":"Advances in Difference Equations"},"translated_abstract":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.","internal_url":"https://www.academia.edu/107375490/Approximation_by_Jakimovski_Leviatan_beta_operators_in_weighted_space","translated_internal_url":"","created_at":"2023-09-29T02:30:30.448-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":106058366,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/106058366/thumbnails/1.jpg","file_name":"s13662-020-02848-x.pdf","download_url":"https://www.academia.edu/attachments/106058366/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Approximation_by_Jakimovski_Leviatan_bet.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/106058366/s13662-020-02848-x-libre.pdf?1695984388=\u0026response-content-disposition=attachment%3B+filename%3DApproximation_by_Jakimovski_Leviatan_bet.pdf\u0026Expires=1734473669\u0026Signature=RYn8Dn5~lqvl0n5dBBDWyeSQztvFpMgtXBZq98QaWsqyHj4hf65y8PvncBSFdON~ko9Aa9u-Hu~X3O69WTjBs5yXdRo~FLkm9~LxyOKvXtiIvGiu2UoTqzmFUbJHWfLsHyyZIKFwep~K4XQnN-sIdNlANcf8KdXLia80XcRf8yDxplo2bY8-sU7sbjeCeFd1irz0neWEdLsvnai~I8XNnRcpspvmpmbtH92StPvSxT6uV7xySGe-nOLqafqqyairGSU6p-E~60VPNuMUh2ul~EjtCzgSxS4gaA40oXz5Fs~Nd5xpsrifXEgk~yKk73zVaK2jUk6UvN06QSpaML6CzQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Approximation_by_Jakimovski_Leviatan_beta_operators_in_weighted_space","translated_slug":"","page_count":10,"language":"en","content_type":"Work","summary":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. 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We also provide some illustrative examples in support of our existence theorems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="01f0c0e445cf4153d949dcf1483e0463" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:104135388,&quot;asset_id&quot;:104392772,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/104135388/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="104392772"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="104392772"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 104392772; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=104392772]").text(description); $(".js-view-count[data-work-id=104392772]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 104392772; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='104392772']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 104392772, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "01f0c0e445cf4153d949dcf1483e0463" } } $('.js-work-strip[data-work-id=104392772]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":104392772,"title":"Application measure of noncompactness and operator type contraction for solvability of an infinite system of differential equations in lp-space","translated_title":"","metadata":{"abstract":"The aim of this paper is to obtain existence results for an infinite system of second order differential equations in the sequence space lp for 1 ? p \u0026lt; ? with the help of a technique associated with measures of noncompactness and contractive condition of operator type. 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We compute the rate of convergence and also prove a Voronovskaja-type theorem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5b896186e48e37e8c86b3efda29ea21b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:100784780,&quot;asset_id&quot;:99789521,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/100784780/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="99789521"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="99789521"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 99789521; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=99789521]").text(description); $(".js-view-count[data-work-id=99789521]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 99789521; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='99789521']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 99789521, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5b896186e48e37e8c86b3efda29ea21b" } } $('.js-work-strip[data-work-id=99789521]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":99789521,"title":"Modified (p, q)-Bernstein-Schurer operators and their approximation properties","translated_title":"","metadata":{"publisher":"Informa UK Limited","grobid_abstract":"In this paper, we introduce modified (p, q)-Bernstein-Schurer operators and discuss their statistical approximation properties based on Korovkin's type approximation theorem. 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The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564403"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564403"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564403; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564403]").text(description); $(".js-view-count[data-work-id=85564403]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564403; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564403']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564403, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564403]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564403,"title":"Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method","translated_title":"","metadata":{"abstract":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","publisher":"Springer Science and Business Media LLC","publication_date":{"day":null,"month":null,"year":2020,"errors":{}},"publication_name":"Bulletin of the Malaysian Mathematical Sciences Society"},"translated_abstract":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","internal_url":"https://www.academia.edu/85564403/Approximation_by_Modified_Meyer_K%C3%B6nig_and_Zeller_Operators_via_Power_Series_Summability_Method","translated_internal_url":"","created_at":"2022-08-24T21:55:46.344-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Approximation_by_Modified_Meyer_König_and_Zeller_Operators_via_Power_Series_Summability_Method","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. Mursaleen","url":"https://amu-in.academia.edu/MMursaleen"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":19997,"name":"Pure Mathematics","url":"https://www.academia.edu/Documents/in/Pure_Mathematics"}],"urls":[{"id":23329791,"url":"http://link.springer.com/content/pdf/10.1007/s40840-020-01045-z.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564377"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators"><img alt="Research paper thumbnail of Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators" class="work-thumbnail" src="https://attachments.academia-assets.com/90225065/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators">Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators</a></div><div class="wp-workCard_item"><span>Filomat</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer oper...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5a1bf8f273982e0a8ed8ce137104e089" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225065,&quot;asset_id&quot;:85564377,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225065/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564377"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564377"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564377; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564377]").text(description); $(".js-view-count[data-work-id=85564377]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564377; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564377']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564377, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5a1bf8f273982e0a8ed8ce137104e089" } } $('.js-work-strip[data-work-id=85564377]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564377,"title":"Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators","translated_title":"","metadata":{"abstract":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","publisher":"National Library of Serbia","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Filomat"},"translated_abstract":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","internal_url":"https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators","translated_internal_url":"","created_at":"2022-08-24T21:55:27.700-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":90225065,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/90225065/thumbnails/1.jpg","file_name":"0354-51801906517M.pdf","download_url":"https://www.academia.edu/attachments/90225065/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Approximation_by_Jakimovski_Leviatan_Sta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/90225065/0354-51801906517M-libre.pdf?1661416975=\u0026response-content-disposition=attachment%3B+filename%3DApproximation_by_Jakimovski_Leviatan_Sta.pdf\u0026Expires=1734473669\u0026Signature=anJxLsE3sbA3jvufkD80euRzo~18Xn63ZEvMtCzbTeWHhCdeeVKFVLhN4gtw9Rc3Fz1VukbeeT7VxR6t6dD6tRwhWBz3UwPmqOHhdSiZV702URyZktpW6zG5e~oDWODIEDl~1ZrQ6eAFayxNmyhKY9i8GLaGsJ-g3jq43xEVNCGEMvu9y3RyZHvkT9fqaGwDy5rl5zDzErZM1V2xpG7uHZKGmo80c4hD1M7pBPY-5JvOcJbGUVD22cYDKhCBaEbIvHbirlJhOjxhYetD~LEr0yHIphBm10BS3F~h4W5CKpwV7RbLsNMJpV~Y~puME3pl92ZESk9W1R0eVIGntn2lTg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators","translated_slug":"","page_count":14,"language":"en","content_type":"Work","summary":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. 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In this study, Fe-Cu-Sn composite containing varying percentage of molybdenum disulfide (MoS 2) is developed using simple single stage compaction and sintering. The friction and wear behaviors of these composites were studied ball-on-disc tribometer in which EN8 steel ball was used. It was found that with the increase in percentage of MoS 2 from 0 to 3 wt% the coefficient of friction and wear rate substantially decreases from around 0.85 to 0.25. The wear mechanism in base composition (0% MoS 2) is observed to be adhesive and abrasive, whereas mild abrasive wear was observed in the 3 wt% MoS 2 composite. The hardness of composite was also found to improve with the increase in MoS 2 weight fraction.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a8336f0ab373e4037776caa7d64aab31" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225021,&quot;asset_id&quot;:85564315,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225021/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564315"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564315"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564315; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564315]").text(description); $(".js-view-count[data-work-id=85564315]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564315; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564315']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564315, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a8336f0ab373e4037776caa7d64aab31" } } $('.js-work-strip[data-work-id=85564315]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564315,"title":"A study on friction and wear characteristics of Fe–Cu–Sn alloy with MoS2 as solid lubricant under dry conditions","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","grobid_abstract":"Iron-based alloys are materials of choice for engineering applications such as bearings and gears owing to their low cost, ease of manufacture, high strength, availability, and good wear resistance and low coefficient of friction. 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We also discuss its Korovkin-type approximation properties and rate of convergence.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fdffe03358c2c3c8e1a0decd16bb47d4" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225011,&quot;asset_id&quot;:85564308,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225011/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564308"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564308"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564308; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564308]").text(description); $(".js-view-count[data-work-id=85564308]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564308; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564308']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564308, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fdffe03358c2c3c8e1a0decd16bb47d4" } } $('.js-work-strip[data-work-id=85564308]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564308,"title":"Approximation properties of Chlodowsky variant of ( p , q ) $(p,q)$ Bernstein-Stancu-Schurer operators","translated_title":"","metadata":{"publisher":"Springer Nature","grobid_abstract":"In the present paper, we introduce the Chlodowsky variant of (p, q) Bernstein-Stancu-Schurer operators which is a generalization of (p, q) Bernstein-Stancu-Schurer operators. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564298"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/85564298/Multiplication_operators_on_Ces%C3%A0ro_function_spaces"><img alt="Research paper thumbnail of Multiplication operators on Cesàro function spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/90225005/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/85564298/Multiplication_operators_on_Ces%C3%A0ro_function_spaces">Multiplication operators on Cesàro function spaces</a></div><div class="wp-workCard_item"><span>Filomat</span><span>, 2016</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Ces?ro function spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="df6c47b0f5e153c72b0e45c3199c0aec" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225005,&quot;asset_id&quot;:85564298,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225005/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564298"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564298"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564298; 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We obtain the general solution and establish some stability results by using direct method as well as the fixed point method. Further we define the stability of the above functional equation by using the fixed point alternative.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564082"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564082"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564082; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564082]").text(description); $(".js-view-count[data-work-id=85564082]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564082; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564082']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564082, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564082]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564082,"title":"The Stability of an Affine Type Functional Equation with the Fixed Point Alternative","translated_title":"","metadata":{"abstract":"ABSTRACT In this paper, we consider the following affine functional equation f(3x+y+z)+f(x+3y+z)+f(x+y+3z)+f(x)+f(y)+f(z)=6f(x+y+z). 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Further we define the stability of the above functional equation by using the fixed point alternative.","internal_url":"https://www.academia.edu/85564082/The_Stability_of_an_Affine_Type_Functional_Equation_with_the_Fixed_Point_Alternative","translated_internal_url":"","created_at":"2022-08-24T21:50:25.591-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"The_Stability_of_an_Affine_Type_Functional_Equation_with_the_Fixed_Point_Alternative","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT In this paper, we consider the following affine functional equation f(3x+y+z)+f(x+3y+z)+f(x+y+3z)+f(x)+f(y)+f(z)=6f(x+y+z). We obtain the general solution and establish some stability results by using direct method as well as the fixed point method. Further we define the stability of the above functional equation by using the fixed point alternative.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. Mursaleen","url":"https://amu-in.academia.edu/MMursaleen"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":1554856,"name":"Affine Transformation","url":"https://www.academia.edu/Documents/in/Affine_Transformation"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564079"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators"><img alt="Research paper thumbnail of Application to Compact Matrix Operators" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators">Application to Compact Matrix Operators</a></div><div class="wp-workCard_item"><span>Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this chapter, we present some identities or estimates for the operator norms and the Hausdorff...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \(c_{0}\), \(c\), \(\ell _{\infty }\) and \(\ell _{1}\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564079"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564079"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564079; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564079]").text(description); $(".js-view-count[data-work-id=85564079]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564079; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564079']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564079, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564079]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564079,"title":"Application to Compact Matrix Operators","translated_title":"","metadata":{"abstract":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","publication_date":{"day":null,"month":null,"year":2014,"errors":{}},"publication_name":"Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations"},"translated_abstract":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","internal_url":"https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators","translated_internal_url":"","created_at":"2022-08-24T21:50:22.743-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Application_to_Compact_Matrix_Operators","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. 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We show rqB(u,p) is a complete linear metric space and is linearly isomorphic to the space l(p). We have also computed its ?-, ?- and ?-duals. Furthermore, we have constructed the basis of rqB(u,p) and characterize a matrix class (rqB(u, p), l?).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="90fe6948af38c1a7021ca5197d8096be" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90224865,&quot;asset_id&quot;:85564073,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90224865/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564073"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564073"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564073; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564073]").text(description); $(".js-view-count[data-work-id=85564073]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564073; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564073']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564073, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "90fe6948af38c1a7021ca5197d8096be" } } $('.js-work-strip[data-work-id=85564073]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564073,"title":"New type of generalized difference sequence space of non-absolute type and some matrix transformations","translated_title":"","metadata":{"abstract":"In the present paper, we introduce a new difference sequence space rqB(u,p) by using the Riesz mean and the B-difference matrix. 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Furthermore, we have constructed the basis of rqB(u,p) and characterize a matrix class (rqB(u, p), l?).","internal_url":"https://www.academia.edu/85564073/New_type_of_generalized_difference_sequence_space_of_non_absolute_type_and_some_matrix_transformations","translated_internal_url":"","created_at":"2022-08-24T21:50:16.295-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":90224865,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/90224865/thumbnails/1.jpg","file_name":"48bf0ff31dd4007f8ee102ad74f56ffc337f.pdf","download_url":"https://www.academia.edu/attachments/90224865/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"New_type_of_generalized_difference_seque.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/90224865/48bf0ff31dd4007f8ee102ad74f56ffc337f-libre.pdf?1661417253=\u0026response-content-disposition=attachment%3B+filename%3DNew_type_of_generalized_difference_seque.pdf\u0026Expires=1734473670\u0026Signature=CJSTiS-PogPstpY7L8sU3Kf-kXyBhDODgkn5IOxHU9hK21yrpmTc5XTfcZhYSq9mjCo7qNVUEenxGJlxF3QibQBUDx9l~lHVbMjTFfsrzBy7KZTH0Dq6s5EGwJvEYvocLeyIB-JAfimVI8JzUFrpFy2UhG4ocIO-ucrjgNIVhix338qB5anhRpWkKIjh4nP~Dh3EfxzR-ntoeI17425O~V4Qgp0uVof3ffB6TGWAPV9fu9RDPDlJN9O~E~1FgVPvtrghI-cKnKD0z1YotFVjzd3EXVMcXgjknBTcfsEfIMxS02FoGq3-x1EDOBpKM7ksxeRD2v6uMAA5eT3mvJM0nw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"New_type_of_generalized_difference_sequence_space_of_non_absolute_type_and_some_matrix_transformations","translated_slug":"","page_count":12,"language":"en","content_type":"Work","summary":"In the present paper, we introduce a new difference sequence space rqB(u,p) by using the Riesz mean and the B-difference matrix. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564070"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/85564070/Sequence_spaces_of_invariant_means_and_some_matrix_transformations"><img alt="Research paper thumbnail of Sequence spaces of invariant means and some matrix transformations" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/85564070/Sequence_spaces_of_invariant_means_and_some_matrix_transformations">Sequence spaces of invariant means and some matrix transformations</a></div><div class="wp-workCard_item"><span>Progress in Analysis and its Applications - Proceedings of the 7th International ISAAC Congress</span><span>, 2010</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564070"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564070"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564070; 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We also derive some inclusion relations. Furthermore, we determine the -, - and -duals of those spaces and construct their bases.Finally,wecharacterizesomematrixclassesconcerningthespacesc 0. /andc . /. ’2010ElsevierLtd.Allrightsreserved.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="126084333"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="126084333"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126084333; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126084333]").text(description); $(".js-view-count[data-work-id=126084333]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126084333; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126084333']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126084333, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=126084333]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126084333,"title":"Onsomenewdifferencesequencespacesofnon-absolutetype I","translated_title":"","metadata":{"abstract":"a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequences which are theBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spacesc0andc, respectively. We also derive some inclusion relations. Furthermore, we determine the -, - and -duals of those spaces and construct their bases.Finally,wecharacterizesomematrixclassesconcerningthespacesc 0. /andc . /. ’2010ElsevierLtd.Allrightsreserved.","publication_date":{"day":null,"month":null,"year":2010,"errors":{}}},"translated_abstract":"a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequences which are theBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spacesc0andc, respectively. We also derive some inclusion relations. Furthermore, we determine the -, - and -duals of those spaces and construct their bases.Finally,wecharacterizesomematrixclassesconcerningthespacesc 0. /andc . /. ’2010ElsevierLtd.Allrightsreserved.","internal_url":"https://www.academia.edu/126084333/Onsomenewdifferencesequencespacesofnon_absolutetype_I","translated_internal_url":"","created_at":"2024-12-05T03:12:54.942-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Onsomenewdifferencesequencespacesofnon_absolutetype_I","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"a b s t r a c t In the present paper, we introduce the spacesc 0 . /andc . /of difference sequences which are theBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spacesc0andc, respectively. We also derive some inclusion relations. Furthermore, we determine the -, - and -duals of those spaces and construct their bases.Finally,wecharacterizesomematrixclassesconcerningthespacesc 0. /andc . /. ’2010ElsevierLtd.Allrightsreserved.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. 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We study some connections between these notions.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a195d489a5268026a6954b13e3f711d6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:120016172,&quot;asset_id&quot;:126084332,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/120016172/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="126084332"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="126084332"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126084332; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126084332]").text(description); $(".js-view-count[data-work-id=126084332]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126084332; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126084332']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126084332, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a195d489a5268026a6954b13e3f711d6" } } $('.js-work-strip[data-work-id=126084332]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126084332,"title":"On Ideal Analogue of Asymptotically Lacunary Statistical Equivalence of Sequences","translated_title":"","metadata":{"grobid_abstract":"For an admissible ideal I ⊆ P (N) and a lacunary sequence θ = (k r), the aim of the present work is to introduce certain new notions of asymptotically I− lacunary statistically equivalent, asymptotically I−statistically equivalent, and asymptotically I − N θ −equivalent sequences of multiple L which are natural combination of notions of asymptotically equivalent, lacunary statistical convergence and N θ −convergence of sequences of numbers. 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We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investigate inclusion relations between newly formed sequence spaces and compute the b-, c-duals. Moreover, we characterize several classes of infinite matrices and give some interesting examples. Finally, we study aforesaid sequence spaces over n-normed space and demonstrate their several algebraic and topological properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="8708f8a32d34c5c60e2d408470197f7a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:120016158,&quot;asset_id&quot;:126084291,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/120016158/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="126084291"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="126084291"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126084291; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126084291]").text(description); $(".js-view-count[data-work-id=126084291]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126084291; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126084291']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126084291, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "8708f8a32d34c5c60e2d408470197f7a" } } $('.js-work-strip[data-work-id=126084291]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126084291,"title":"Linear isomorphic spaces of fractional-order difference operators","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. 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We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="54a6b3dfe075269439b641bfd24c749d" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:106058366,&quot;asset_id&quot;:107375490,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/106058366/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="107375490"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="107375490"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 107375490; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=107375490]").text(description); $(".js-view-count[data-work-id=107375490]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 107375490; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='107375490']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 107375490, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "54a6b3dfe075269439b641bfd24c749d" } } $('.js-work-strip[data-work-id=107375490]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":107375490,"title":"Approximation by Jakimovski–Leviatan-beta operators in weighted space","translated_title":"","metadata":{"abstract":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.","publisher":"Springer Science and Business Media LLC","ai_title_tag":"Generalized Jakimovski–Leviatan-beta Operators and Convergence","publication_date":{"day":null,"month":null,"year":2020,"errors":{}},"publication_name":"Advances in Difference Equations"},"translated_abstract":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.","internal_url":"https://www.academia.edu/107375490/Approximation_by_Jakimovski_Leviatan_beta_operators_in_weighted_space","translated_internal_url":"","created_at":"2023-09-29T02:30:30.448-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":106058366,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/106058366/thumbnails/1.jpg","file_name":"s13662-020-02848-x.pdf","download_url":"https://www.academia.edu/attachments/106058366/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Approximation_by_Jakimovski_Leviatan_bet.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/106058366/s13662-020-02848-x-libre.pdf?1695984388=\u0026response-content-disposition=attachment%3B+filename%3DApproximation_by_Jakimovski_Leviatan_bet.pdf\u0026Expires=1734473669\u0026Signature=RYn8Dn5~lqvl0n5dBBDWyeSQztvFpMgtXBZq98QaWsqyHj4hf65y8PvncBSFdON~ko9Aa9u-Hu~X3O69WTjBs5yXdRo~FLkm9~LxyOKvXtiIvGiu2UoTqzmFUbJHWfLsHyyZIKFwep~K4XQnN-sIdNlANcf8KdXLia80XcRf8yDxplo2bY8-sU7sbjeCeFd1irz0neWEdLsvnai~I8XNnRcpspvmpmbtH92StPvSxT6uV7xySGe-nOLqafqqyairGSU6p-E~60VPNuMUh2ul~EjtCzgSxS4gaA40oXz5Fs~Nd5xpsrifXEgk~yKk73zVaK2jUk6UvN06QSpaML6CzQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Approximation_by_Jakimovski_Leviatan_beta_operators_in_weighted_space","translated_slug":"","page_count":10,"language":"en","content_type":"Work","summary":"The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. 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We also provide some illustrative examples in support of our existence theorems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="01f0c0e445cf4153d949dcf1483e0463" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:104135388,&quot;asset_id&quot;:104392772,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/104135388/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="104392772"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="104392772"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 104392772; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=104392772]").text(description); $(".js-view-count[data-work-id=104392772]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 104392772; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='104392772']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 104392772, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "01f0c0e445cf4153d949dcf1483e0463" } } $('.js-work-strip[data-work-id=104392772]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":104392772,"title":"Application measure of noncompactness and operator type contraction for solvability of an infinite system of differential equations in lp-space","translated_title":"","metadata":{"abstract":"The aim of this paper is to obtain existence results for an infinite system of second order differential equations in the sequence space lp for 1 ? p \u0026lt; ? with the help of a technique associated with measures of noncompactness and contractive condition of operator type. 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We compute the rate of convergence and also prove a Voronovskaja-type theorem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5b896186e48e37e8c86b3efda29ea21b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:100784780,&quot;asset_id&quot;:99789521,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/100784780/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="99789521"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="99789521"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 99789521; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=99789521]").text(description); $(".js-view-count[data-work-id=99789521]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 99789521; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='99789521']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 99789521, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5b896186e48e37e8c86b3efda29ea21b" } } $('.js-work-strip[data-work-id=99789521]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":99789521,"title":"Modified (p, q)-Bernstein-Schurer operators and their approximation properties","translated_title":"","metadata":{"publisher":"Informa UK Limited","grobid_abstract":"In this paper, we introduce modified (p, q)-Bernstein-Schurer operators and discuss their statistical approximation properties based on Korovkin's type approximation theorem. 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The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564403"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564403"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564403; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564403]").text(description); $(".js-view-count[data-work-id=85564403]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564403; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564403']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564403, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564403]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564403,"title":"Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method","translated_title":"","metadata":{"abstract":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","publisher":"Springer Science and Business Media LLC","publication_date":{"day":null,"month":null,"year":2020,"errors":{}},"publication_name":"Bulletin of the Malaysian Mathematical Sciences Society"},"translated_abstract":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","internal_url":"https://www.academia.edu/85564403/Approximation_by_Modified_Meyer_K%C3%B6nig_and_Zeller_Operators_via_Power_Series_Summability_Method","translated_internal_url":"","created_at":"2022-08-24T21:55:46.344-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Approximation_by_Modified_Meyer_König_and_Zeller_Operators_via_Power_Series_Summability_Method","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"In this paper, we study the Korovkin-type theorem for modified Meyer–Konig and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Gruss–Voronovskaya-type theorems for A-statistical convergence.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. Mursaleen","url":"https://amu-in.academia.edu/MMursaleen"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":19997,"name":"Pure Mathematics","url":"https://www.academia.edu/Documents/in/Pure_Mathematics"}],"urls":[{"id":23329791,"url":"http://link.springer.com/content/pdf/10.1007/s40840-020-01045-z.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564377"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators"><img alt="Research paper thumbnail of Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators" class="work-thumbnail" src="https://attachments.academia-assets.com/90225065/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators">Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators</a></div><div class="wp-workCard_item"><span>Filomat</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer oper...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5a1bf8f273982e0a8ed8ce137104e089" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225065,&quot;asset_id&quot;:85564377,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225065/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564377"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564377"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564377; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564377]").text(description); $(".js-view-count[data-work-id=85564377]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564377; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564377']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564377, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5a1bf8f273982e0a8ed8ce137104e089" } } $('.js-work-strip[data-work-id=85564377]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564377,"title":"Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators","translated_title":"","metadata":{"abstract":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","publisher":"National Library of Serbia","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Filomat"},"translated_abstract":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","internal_url":"https://www.academia.edu/85564377/Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators","translated_internal_url":"","created_at":"2022-08-24T21:55:27.700-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":90225065,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/90225065/thumbnails/1.jpg","file_name":"0354-51801906517M.pdf","download_url":"https://www.academia.edu/attachments/90225065/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Approximation_by_Jakimovski_Leviatan_Sta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/90225065/0354-51801906517M-libre.pdf?1661416975=\u0026response-content-disposition=attachment%3B+filename%3DApproximation_by_Jakimovski_Leviatan_Sta.pdf\u0026Expires=1734473669\u0026Signature=anJxLsE3sbA3jvufkD80euRzo~18Xn63ZEvMtCzbTeWHhCdeeVKFVLhN4gtw9Rc3Fz1VukbeeT7VxR6t6dD6tRwhWBz3UwPmqOHhdSiZV702URyZktpW6zG5e~oDWODIEDl~1ZrQ6eAFayxNmyhKY9i8GLaGsJ-g3jq43xEVNCGEMvu9y3RyZHvkT9fqaGwDy5rl5zDzErZM1V2xpG7uHZKGmo80c4hD1M7pBPY-5JvOcJbGUVD22cYDKhCBaEbIvHbirlJhOjxhYetD~LEr0yHIphBm10BS3F~h4W5CKpwV7RbLsNMJpV~Y~puME3pl92ZESk9W1R0eVIGntn2lTg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Approximation_by_Jakimovski_Leviatan_Stancu_Durrmeyer_type_operators","translated_slug":"","page_count":14,"language":"en","content_type":"Work","summary":"In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. 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In this study, Fe-Cu-Sn composite containing varying percentage of molybdenum disulfide (MoS 2) is developed using simple single stage compaction and sintering. The friction and wear behaviors of these composites were studied ball-on-disc tribometer in which EN8 steel ball was used. It was found that with the increase in percentage of MoS 2 from 0 to 3 wt% the coefficient of friction and wear rate substantially decreases from around 0.85 to 0.25. The wear mechanism in base composition (0% MoS 2) is observed to be adhesive and abrasive, whereas mild abrasive wear was observed in the 3 wt% MoS 2 composite. The hardness of composite was also found to improve with the increase in MoS 2 weight fraction.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a8336f0ab373e4037776caa7d64aab31" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225021,&quot;asset_id&quot;:85564315,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225021/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564315"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564315"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564315; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564315]").text(description); $(".js-view-count[data-work-id=85564315]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564315; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564315']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564315, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a8336f0ab373e4037776caa7d64aab31" } } $('.js-work-strip[data-work-id=85564315]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564315,"title":"A study on friction and wear characteristics of Fe–Cu–Sn alloy with MoS2 as solid lubricant under dry conditions","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","grobid_abstract":"Iron-based alloys are materials of choice for engineering applications such as bearings and gears owing to their low cost, ease of manufacture, high strength, availability, and good wear resistance and low coefficient of friction. 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We also discuss its Korovkin-type approximation properties and rate of convergence.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fdffe03358c2c3c8e1a0decd16bb47d4" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225011,&quot;asset_id&quot;:85564308,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225011/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564308"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564308"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564308; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564308]").text(description); $(".js-view-count[data-work-id=85564308]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564308; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564308']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564308, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fdffe03358c2c3c8e1a0decd16bb47d4" } } $('.js-work-strip[data-work-id=85564308]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564308,"title":"Approximation properties of Chlodowsky variant of ( p , q ) $(p,q)$ Bernstein-Stancu-Schurer operators","translated_title":"","metadata":{"publisher":"Springer Nature","grobid_abstract":"In the present paper, we introduce the Chlodowsky variant of (p, q) Bernstein-Stancu-Schurer operators which is a generalization of (p, q) Bernstein-Stancu-Schurer operators. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564298"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/85564298/Multiplication_operators_on_Ces%C3%A0ro_function_spaces"><img alt="Research paper thumbnail of Multiplication operators on Cesàro function spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/90225005/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/85564298/Multiplication_operators_on_Ces%C3%A0ro_function_spaces">Multiplication operators on Cesàro function spaces</a></div><div class="wp-workCard_item"><span>Filomat</span><span>, 2016</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Ces?ro function spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="df6c47b0f5e153c72b0e45c3199c0aec" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90225005,&quot;asset_id&quot;:85564298,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90225005/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564298"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564298"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564298; 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We obtain the general solution and establish some stability results by using direct method as well as the fixed point method. Further we define the stability of the above functional equation by using the fixed point alternative.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564082"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564082"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564082; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564082]").text(description); $(".js-view-count[data-work-id=85564082]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564082; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564082']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564082, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564082]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564082,"title":"The Stability of an Affine Type Functional Equation with the Fixed Point Alternative","translated_title":"","metadata":{"abstract":"ABSTRACT In this paper, we consider the following affine functional equation f(3x+y+z)+f(x+3y+z)+f(x+y+3z)+f(x)+f(y)+f(z)=6f(x+y+z). 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Further we define the stability of the above functional equation by using the fixed point alternative.","internal_url":"https://www.academia.edu/85564082/The_Stability_of_an_Affine_Type_Functional_Equation_with_the_Fixed_Point_Alternative","translated_internal_url":"","created_at":"2022-08-24T21:50:25.591-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"The_Stability_of_an_Affine_Type_Functional_Equation_with_the_Fixed_Point_Alternative","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT In this paper, we consider the following affine functional equation f(3x+y+z)+f(x+3y+z)+f(x+y+3z)+f(x)+f(y)+f(z)=6f(x+y+z). We obtain the general solution and establish some stability results by using direct method as well as the fixed point method. Further we define the stability of the above functional equation by using the fixed point alternative.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. Mursaleen","url":"https://amu-in.academia.edu/MMursaleen"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":1554856,"name":"Affine Transformation","url":"https://www.academia.edu/Documents/in/Affine_Transformation"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="85564079"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators"><img alt="Research paper thumbnail of Application to Compact Matrix Operators" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators">Application to Compact Matrix Operators</a></div><div class="wp-workCard_item"><span>Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this chapter, we present some identities or estimates for the operator norms and the Hausdorff...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \(c_{0}\), \(c\), \(\ell _{\infty }\) and \(\ell _{1}\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564079"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564079"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564079; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564079]").text(description); $(".js-view-count[data-work-id=85564079]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564079; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564079']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564079, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=85564079]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564079,"title":"Application to Compact Matrix Operators","translated_title":"","metadata":{"abstract":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","publication_date":{"day":null,"month":null,"year":2014,"errors":{}},"publication_name":"Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations"},"translated_abstract":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","internal_url":"https://www.academia.edu/85564079/Application_to_Compact_Matrix_Operators","translated_internal_url":"","created_at":"2022-08-24T21:50:22.743-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Application_to_Compact_Matrix_Operators","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces \\(c_{0}\\), \\(c\\), \\(\\ell _{\\infty }\\) and \\(\\ell _{1}\\), and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.","owner":{"id":599035,"first_name":"M.","middle_initials":null,"last_name":"Mursaleen","page_name":"MMursaleen","domain_name":"amu-in","created_at":"2011-07-24T12:52:44.601-07:00","display_name":"M. 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We show rqB(u,p) is a complete linear metric space and is linearly isomorphic to the space l(p). We have also computed its ?-, ?- and ?-duals. Furthermore, we have constructed the basis of rqB(u,p) and characterize a matrix class (rqB(u, p), l?).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="90fe6948af38c1a7021ca5197d8096be" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:90224865,&quot;asset_id&quot;:85564073,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/90224865/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="85564073"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="85564073"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 85564073; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=85564073]").text(description); $(".js-view-count[data-work-id=85564073]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 85564073; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='85564073']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 85564073, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "90fe6948af38c1a7021ca5197d8096be" } } $('.js-work-strip[data-work-id=85564073]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":85564073,"title":"New type of generalized difference sequence space of non-absolute type and some matrix transformations","translated_title":"","metadata":{"abstract":"In the present paper, we introduce a new difference sequence space rqB(u,p) by using the Riesz mean and the B-difference matrix. 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Furthermore, we have constructed the basis of rqB(u,p) and characterize a matrix class (rqB(u, p), l?).","internal_url":"https://www.academia.edu/85564073/New_type_of_generalized_difference_sequence_space_of_non_absolute_type_and_some_matrix_transformations","translated_internal_url":"","created_at":"2022-08-24T21:50:16.295-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":599035,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":90224865,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/90224865/thumbnails/1.jpg","file_name":"48bf0ff31dd4007f8ee102ad74f56ffc337f.pdf","download_url":"https://www.academia.edu/attachments/90224865/download_file?st=MTczNDQ5ODUxMCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"New_type_of_generalized_difference_seque.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/90224865/48bf0ff31dd4007f8ee102ad74f56ffc337f-libre.pdf?1661417253=\u0026response-content-disposition=attachment%3B+filename%3DNew_type_of_generalized_difference_seque.pdf\u0026Expires=1734473670\u0026Signature=CJSTiS-PogPstpY7L8sU3Kf-kXyBhDODgkn5IOxHU9hK21yrpmTc5XTfcZhYSq9mjCo7qNVUEenxGJlxF3QibQBUDx9l~lHVbMjTFfsrzBy7KZTH0Dq6s5EGwJvEYvocLeyIB-JAfimVI8JzUFrpFy2UhG4ocIO-ucrjgNIVhix338qB5anhRpWkKIjh4nP~Dh3EfxzR-ntoeI17425O~V4Qgp0uVof3ffB6TGWAPV9fu9RDPDlJN9O~E~1FgVPvtrghI-cKnKD0z1YotFVjzd3EXVMcXgjknBTcfsEfIMxS02FoGq3-x1EDOBpKM7ksxeRD2v6uMAA5eT3mvJM0nw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"New_type_of_generalized_difference_sequence_space_of_non_absolute_type_and_some_matrix_transformations","translated_slug":"","page_count":12,"language":"en","content_type":"Work","summary":"In the present paper, we introduce a new difference sequence space rqB(u,p) by using the Riesz mean and the B-difference matrix. 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