Document Zbl 1494.26024

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Difference Equ.</a> <a href="/?q=in%3A478044" title="Articles in this Issue">2021, Paper No. 312, 32 p. (2021)</a>. </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7575337">Cited in <strong>21</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A26D07" title="MSC2020">26D07</a> </td> <td class="space"> Inequalities involving other types of functions </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26D10" title="MSC2020">26D10</a> </td> <td class="space"> Inequalities involving derivatives and differential and integral operators </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26D15" title="MSC2020">26D15</a> </td> <td class="space"> Inequalities for sums, series and integrals </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26B15" title="MSC2020">26B15</a> </td> <td class="space"> Integration of real functions of several variables: length, area, volume </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26B25" title="MSC2020">26B25</a> </td> <td class="space"> Convexity of real functions of several variables, generalizations </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3ASimpson+inequality">Simpson inequality</a>; <a href="/?q=ut%3AOstrowski+inequality">Ostrowski inequality</a>; <a href="/?q=ut%3Aco-ordinated+convex+function">co-ordinated convex function</a>; <a href="/?q=ut%3Ageneralized+fractional+integrals">generalized fractional integrals</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1494.26024" data-ciurl="/ci/07575337" data-biburl="/bibtex/07575337.bib" data-amsurl="/amsrefs/07575337.bib" data-xmlurl="/xml/07575337.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07575337.pdf" title="Zbl 1494.26024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1186/s13662-021-03463-0" aria-label="DOI for “On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals”" title="10.1186/s13662-021-03463-0">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Abdeljawad, T.; Rashid, S.; Hammouch, Z.; İşcan, I.; Chu, Y. M., Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications, Adv. Differ. Equ., 2020, 1 (2020) · <a href="/1486.26033" class="nowrap">Zbl 1486.26033</a> · <a href="https://doi.org/10.1186/s13662-019-2438-0" class="nowrap">doi:10.1186/s13662-019-2438-0</a></td> </tr><tr> <td>[2]</td> <td class="space">Agarwal, R. P.; Luo, M.-J.; Raina, R. K., On Ostrowski type inequalities, Fasc. Math., 56, 5-27 (2016) · <a href="/1352.26003" class="nowrap">Zbl 1352.26003</a></td> </tr><tr> <td>[3]</td> <td class="space">Alomari, M., Darus, M., Dragomir, S.S.: New inequalities of Simpson’s type for s-convex functions with applications. RGMIA Res. Rep. Collect. 12(4) (2009)</td> </tr><tr> <td>[4]</td> <td class="space">Alomari, M.; Darus, M.; Dragomir, S. S.; Cerone, P., Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Appl. Math. Lett., 23, 9, 1071-1076 (2010) · <a href="/1197.26021" class="nowrap">Zbl 1197.26021</a> · <a href="https://doi.org/10.1016/j.aml.2010.04.038" class="nowrap">doi:10.1016/j.aml.2010.04.038</a></td> </tr><tr> <td>[5]</td> <td class="space">Basci, Y.; Baleanu, D., Ostrowski type inequalities involving ψ-Hilfer fractional integrals, Mathematics, 7, 9 (2019) · <a href="https://doi.org/10.3390/math7090770" class="nowrap">doi:10.3390/math7090770</a></td> </tr><tr> <td>[6]</td> <td class="space">Budak, H., Kara, H., Kapucu, R.: New midpoint type inequalities for generalized fractional integral. Comput. Methods Differ. Equ. (2021) · <a href="/1499.26103" class="nowrap">Zbl 1499.26103</a></td> </tr><tr> <td>[7]</td> <td class="space">Budak, H., Pehlivan, E., Kösem, P.: On new extensions of Hermite-Hadamard inequalities for generalized fractional integrals. Sahand Commun. Math. Anal. (2021) · <a href="/1474.26090" class="nowrap">Zbl 1474.26090</a></td> </tr><tr> <td>[8]</td> <td class="space">Chen, J.; Huang, X., Some new inequalities of Simpson’s type for s-convex functions via fractional integrals, Filomat, 31, 15, 4989-4997 (2017) · <a href="/1499.26107" class="nowrap">Zbl 1499.26107</a> · <a href="https://doi.org/10.2298/FIL1715989C" class="nowrap">doi:10.2298/FIL1715989C</a></td> </tr><tr> <td>[9]</td> <td class="space">Dragomir, S. S., On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwan. J. Math., 4, 775-788 (2001) · <a href="/1002.26017" class="nowrap">Zbl 1002.26017</a></td> </tr><tr> <td>[10]</td> <td class="space">Dragomir, S. S., Ostrowski and trapezoid type inequalities for the generalized k-g-fractional integrals of functions with bounded variation, Commun. Adv. Math. Sci., 2, 4, 309-330 (2017)</td> </tr><tr> <td>[11]</td> <td class="space">Dragomir, S. S.; Agarwal, R. P., Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11, 5, 91-95 (1998) · <a href="/0938.26012" class="nowrap">Zbl 0938.26012</a> · <a href="https://doi.org/10.1016/S0893-9659(98)00086-X" class="nowrap">doi:10.1016/S0893-9659(98)00086-X</a></td> </tr><tr> <td>[12]</td> <td class="space">Dragomir, S. S.; Agarwal, R. P.; Cerone, P., On Simpson’s inequality and applications, J. Inequal. Appl., 5, 6, 533-579 (2000) · <a href="/0976.26012" class="nowrap">Zbl 0976.26012</a></td> </tr><tr> <td>[13]</td> <td class="space">Ertuğral, F.; Sarikaya, M. Z., Simpson type integral inequalities for generalized fractional integral, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 113, 4, 3115-3124 (2019) · <a href="/1426.26011" class="nowrap">Zbl 1426.26011</a> · <a href="https://doi.org/10.1007/s13398-019-00680-x" class="nowrap">doi:10.1007/s13398-019-00680-x</a></td> </tr><tr> <td>[14]</td> <td class="space">Farid, G.; Mahreen, K.; Chu, Y. M., Study of inequalities for unified integral operators of generalized convex functions, Open J. Math. Sci., 5, 1, 80-93 (2021) · <a href="https://doi.org/10.30538/oms2021.0147" class="nowrap">doi:10.30538/oms2021.0147</a></td> </tr><tr> <td>[15]</td> <td class="space">Farid, G.; Rehman, A. U.; Bibi, S.; Chu, Y. M., Refinements of two fractional versions of Hadamard inequalities for Caputo fractional derivatives and related results, Open J. Math. Sci., 5, 1, 1-10 (2021) · <a href="https://doi.org/10.30538/oms2021.0139" class="nowrap">doi:10.30538/oms2021.0139</a></td> </tr><tr> <td>[16]</td> <td class="space">Farid, G.; Usman, M., Ostrowski type k-fractional integral inequalities for MT-convex and h-convex functions, Nonlinear Funct. Anal. Appl., 22, 3, 627-639 (2017) · <a href="/1377.26008" class="nowrap">Zbl 1377.26008</a></td> </tr><tr> <td>[17]</td> <td class="space">Han, J.; Mohammed, P. O.; Zeng, H., Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function, Open Math., 18, 1, 794-806 (2020) · <a href="/1482.26030" class="nowrap">Zbl 1482.26030</a> · <a href="https://doi.org/10.1515/math-2020-0038" class="nowrap">doi:10.1515/math-2020-0038</a></td> </tr><tr> <td>[18]</td> <td class="space">Iqbal, M.; Bhatti, M. I.; Nazeer, K., Generalization of inequalities analogous to Hermite-Hadamard inequality via fractional integrals, Bull. Korean Math. Soc., 52, 3, 707-716 (2015) · <a href="/1318.26003" class="nowrap">Zbl 1318.26003</a> · <a href="https://doi.org/10.4134/BKMS.2015.52.3.707" class="nowrap">doi:10.4134/BKMS.2015.52.3.707</a></td> </tr><tr> <td>[19]</td> <td class="space">Iqbal, M.; Qaisar, S.; Hussain, S., On Simpson’s type inequalities utilizing fractional integrals, J. Comput. Anal. Appl., 23, 6, 1137-1145 (2017)</td> </tr><tr> <td>[20]</td> <td class="space">Kavurmaci, H.; Özdemir, M. E., New Ostrowski type inequalities for m-convex functions and applications, Hacet. J. Math. Stat., 40, 2, 135-145 (2011) · <a href="/1234.26030" class="nowrap">Zbl 1234.26030</a></td> </tr><tr> <td>[21]</td> <td class="space">Kirmaci, U. S., Inequalities for differentiable mappings and applications to special means of real numbers to midpoint formula, Appl. Math. Comput., 147, 5, 137-146 (2004) · <a href="/1034.26019" class="nowrap">Zbl 1034.26019</a> · <a href="https://doi.org/10.1016/S0096-3003(02)00657-4" class="nowrap">doi:10.1016/S0096-3003(02)00657-4</a></td> </tr><tr> <td>[22]</td> <td class="space">Latif, M. A.; Dragomir, S. S., On some new inequalities for differentiable co-ordinated convex functions, J. Inequal. Appl., 2012, 1 (2012) · <a href="/1279.26027" class="nowrap">Zbl 1279.26027</a> · <a href="https://doi.org/10.1186/1029-242X-2012-1" class="nowrap">doi:10.1186/1029-242X-2012-1</a></td> </tr><tr> <td>[23]</td> <td class="space">Latif, M. A.; Hussain, S., New inequalities of Ostrowski type for co-ordinated convex functions via fractional integrals, J. Fract. Calc. Appl., 2, 9, 1-15 (2012) · <a href="/1488.26116" class="nowrap">Zbl 1488.26116</a></td> </tr><tr> <td>[24]</td> <td class="space">Latif, M. A.; Hussain, S.; Dragomir, S. S., New Ostrowski type inequalities for co-ordinated convex functions, Transylv. J. Math. Mech., 4, 2, 125-136 (2012) · <a href="/07932177" class="nowrap">Zbl 07932177</a></td> </tr><tr> <td>[25]</td> <td class="space">Marcela, M. V., New inequalities for co-ordinated convex functions via Riemann-Liouville fractional calculus, Tamkang J. Math., 45, 3, 285-296 (2014) · <a href="/1321.26021" class="nowrap">Zbl 1321.26021</a> · <a href="https://doi.org/10.5556/j.tkjm.45.2014.1365" class="nowrap">doi:10.5556/j.tkjm.45.2014.1365</a></td> </tr><tr> <td>[26]</td> <td class="space">Matłoka, M., Ostrowski type inequalities for functions whose derivatives are h-convex via fractional integrals, J. Sci. Res. Rep., 3, 1633-1641 (2014)</td> </tr><tr> <td>[27]</td> <td class="space">Matłoka, M., Some inequalities of Simpson type for h-convex functions via fractional integrals, Abstr. Appl. Anal., 2015 (2015) · <a href="/1433.26016" class="nowrap">Zbl 1433.26016</a> · <a href="https://doi.org/10.1155/2015/956850" class="nowrap">doi:10.1155/2015/956850</a></td> </tr><tr> <td>[28]</td> <td class="space">Ozdemir, M. E.; Akdemir, A. O.; Kavurmacı, H., On the Simpson’s inequality for convex functions on the coordinates, Turk. J. Anal. Number Theory, 2, 5, 165-169 (2014) · <a href="https://doi.org/10.12691/tjant-2-5-2" class="nowrap">doi:10.12691/tjant-2-5-2</a></td> </tr><tr> <td>[29]</td> <td class="space">Ozdemir, M. E.; Kavurmaci, H.; Set, E., Ostrowski’s type inequalities for $(\alpha ,m)$-convex function, Kyungpook Math. J., 50, 3, 371-378 (2010) · <a href="/1204.26040" class="nowrap">Zbl 1204.26040</a> · <a href="https://doi.org/10.5666/KMJ.2010.50.3.371" class="nowrap">doi:10.5666/KMJ.2010.50.3.371</a></td> </tr><tr> <td>[30]</td> <td class="space">Ozdemir, M. E.; Yildiz, C.; Akdemir, A. O., On some new Hadamard-type inequalities for co-ordinated quasi-convex functions, Hacet. J. Math. Stat., 41, 5, 697-707 (2012) · <a href="/1276.26031" class="nowrap">Zbl 1276.26031</a></td> </tr><tr> <td>[31]</td> <td class="space">Park, J., On Simpson-like type integral inequalities for differentiable preinvex functions, Appl. Math. Sci., 7, 121, 6009-6021 (2013)</td> </tr><tr> <td>[32]</td> <td class="space">Sarıkaya, M. Z., On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals, Integral Transforms Spec. Funct., 25, 2, 134-147 (2014) · <a href="/1284.26008" class="nowrap">Zbl 1284.26008</a> · <a href="https://doi.org/10.1080/10652469.2013.824436" class="nowrap">doi:10.1080/10652469.2013.824436</a></td> </tr><tr> <td>[33]</td> <td class="space">Sarikaya, M. Z.; Akkurt, A.; Budak, H.; Yildirim, M. E.; Yildirim, H., Hermite-Hadamard’s inequalities for conformable fractional integrals, Konuralp J. Math., 8, 2, 376-383 (2020)</td> </tr><tr> <td>[34]</td> <td class="space">Sarikaya, M. Z.; Budak, H., Generalized Ostrowski type inequalities for local fractional integrals, Proc. Am. Math. Soc., 145, 4, 1527-1538 (2017) · <a href="/1357.26026" class="nowrap">Zbl 1357.26026</a> · <a href="https://doi.org/10.1090/proc/13488" class="nowrap">doi:10.1090/proc/13488</a></td> </tr><tr> <td>[35]</td> <td class="space">Sarikaya, M. Z.; Ertugral, F., On the generalized Hermite-Hadamard inequalities, Annals of the University of Craiova, 193-213 (2020) · <a href="/1488.26138" class="nowrap">Zbl 1488.26138</a></td> </tr><tr> <td>[36]</td> <td class="space">Sarikaya, M. Z.; Set, E.; Özdemir, M. E., On new inequalities of Simpson’s type for convex functions, RGMIA Res. Rep. Collect., 13, 2 (2010) · <a href="/1205.65132" class="nowrap">Zbl 1205.65132</a></td> </tr><tr> <td>[37]</td> <td class="space">Sarikaya, M. Z.; Set, E.; Ozdemir, M. E., On new inequalities of Simpson’s type for functions whose second derivatives absolute values are convex, J. Appl. Math. Stat. Inform., 9, 1, 37-45 (2013) · <a href="/1279.26051" class="nowrap">Zbl 1279.26051</a> · <a href="https://doi.org/10.2478/jamsi-2013-0004" class="nowrap">doi:10.2478/jamsi-2013-0004</a></td> </tr><tr> <td>[38]</td> <td class="space">Sarikaya, M. Z.; Set, E.; Özdemir, M. E., On new inequalities of Simpson’s type for s-convex functions, Comput. Math. Appl., 60, 8, 2191-2199 (2020) · <a href="/1205.65132" class="nowrap">Zbl 1205.65132</a> · <a href="https://doi.org/10.1016/j.camwa.2010.07.033" class="nowrap">doi:10.1016/j.camwa.2010.07.033</a></td> </tr><tr> <td>[39]</td> <td class="space">Sarikaya, M. Z.; Set, E.; Ozdemir, M. E.; Dragomir, S. S., New some Hadamard’s type inequalities for coordinated convex functions, Tamsui Oxf. J. Inf. Math. Sci., 28, 2, 137-152 (2012) · <a href="/1270.26022" class="nowrap">Zbl 1270.26022</a></td> </tr><tr> <td>[40]</td> <td class="space">Sarikaya, M. Z.; Set, E.; Yaldiz, H.; Basak, N., Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities, Math. Comput. Model., 57, 9-10, 2403-2407 (2013) · <a href="/1286.26018" class="nowrap">Zbl 1286.26018</a> · <a href="https://doi.org/10.1016/j.mcm.2011.12.048" class="nowrap">doi:10.1016/j.mcm.2011.12.048</a></td> </tr><tr> <td>[41]</td> <td class="space">Set, E., New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals, Comput. Math. Appl., 63, 7, 1147-1154 (2012) · <a href="/1247.26038" class="nowrap">Zbl 1247.26038</a> · <a href="https://doi.org/10.1016/j.camwa.2011.12.023" class="nowrap">doi:10.1016/j.camwa.2011.12.023</a></td> </tr><tr> <td>[42]</td> <td class="space">Set, E.; Akdemir, A. O.; Özdemir, E. M., Simpson type integral inequalities for convex functions via Riemann-Liouville integrals, Filomat, 31, 14, 4415-4420 (2017) · <a href="/1499.26188" class="nowrap">Zbl 1499.26188</a> · <a href="https://doi.org/10.2298/FIL1714415S" class="nowrap">doi:10.2298/FIL1714415S</a></td> </tr><tr> <td>[43]</td> <td class="space">Tariq, M.; Butt, S. I., Some Ostrowski type integral inequalities via generalized harmonic convex functions, Open J. Math. Sci., 5, 1, 200-208 (2021) · <a href="https://doi.org/10.30538/oms2021.0157" class="nowrap">doi:10.30538/oms2021.0157</a></td> </tr><tr> <td>[44]</td> <td class="space">Tunç, M., Ostrowski-type inequalities via h-convex functions with applications to special means, J. Inequal. Appl., 2013, 1 (2013) · <a href="/1290.26025" class="nowrap">Zbl 1290.26025</a> · <a href="https://doi.org/10.1186/1029-242X-2013-326" class="nowrap">doi:10.1186/1029-242X-2013-326</a></td> </tr><tr> <td>[45]</td> <td class="space">Tunç, T.; Sarıkaya, M. Z., On Hermite-Hadamard type inequalities via fractional integral operators, Filomat, 33, 3, 837-854 (2019) · <a href="/1499.26190" class="nowrap">Zbl 1499.26190</a> · <a href="https://doi.org/10.2298/FIL1903837T" class="nowrap">doi:10.2298/FIL1903837T</a></td> </tr><tr> <td>[46]</td> <td class="space">Tunç, T.; Sarikaya, M. Z.; Yaldiz, H., Fractional Hermite-Hadamard’s type inequality for co-ordinated convex functions, TWMS J. Pure Appl. Math., 11, 1, 3-29 (2020) · <a href="/1496.26039" class="nowrap">Zbl 1496.26039</a></td> </tr><tr> <td>[47]</td> <td class="space">Turkay, M.E., Sarikaya, M.Z., Budak, H., Yildirim, H.: Some Hermite-Hadamard type inequalities for co-ordinated convex functions via generalized fractional integrals. Submitted, ResearchGate Article. https://www.researchgate.net/publication/321803898</td> </tr><tr> <td>[48]</td> <td class="space">Zhao, D.; Ali, M. A.; Kashuri, A.; Budak, H.; Sarikaya, M. Z., Hermite-Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals, J. Inequal. Appl., 2020 (2020) · <a href="/1503.26085" class="nowrap">Zbl 1503.26085</a> · <a href="https://doi.org/10.1186/s13660-020-02488-5" class="nowrap">doi:10.1186/s13660-020-02488-5</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. 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