Journal of Nonlinear Sciences and Applications- Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators

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First, we establish the moments of the operators and then determine the rate of convergence of these operators in terms of the total and partial modulus of continuity. Next, we obtain the order of approximation of the considered operators in a weighted space. Furthermore, we define the associated GBS (Generalized Boolean Sum) operators of the linking operators and then study the rate of convergence with the aid of the Lipschitz class of Bögel continuous functions and the mixed modulus of smoothness." /> <meta property="og:image" content="https://www.isr-publications.com/uploads/jnsa/medium_jnsa.jpg?v2" /> <title>Journal of Nonlinear Sciences and Applications- Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators </title> <link href="https://www.isr-publications.com/css/vendors/bootstrap/bootstrap.css" rel="stylesheet"> <link href="https://www.isr-publications.com/css/vendors/sweet-alert.css" rel="stylesheet"> <link href="https://www.isr-publications.com/css/frontend/general_v1.css" rel="stylesheet"> <link href="https://www.isr-publications.com/css/frontend/styles.css" rel="stylesheet"> <link href="https://www.isr-publications.com/css/frontend/article.css" rel="stylesheet"> </head> <body> <div id="banner" class="row"> 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type operators</h1> <div class="col-md-12"> <div class="col-md-4 col-sm-12"> <span class="add-new-line-after"> <strong>Volume 10, Issue 6, pp 3288--3302</strong> </span> <span class="add-new-line-after"> <a href="http://dx.doi.org/10.22436/jnsa.010.06.39" target="_blank">http://dx.doi.org/10.22436/jnsa.010.06.39</a> </span>   <div id="article-history-body"> <span class="add-new-line-after"> <strong>Publication Date</strong>: June 25, 2017 </span> <span class="add-new-line-after"> <strong>Submission Date</strong>: April 18, 2017 </span> </div> </div> <div class="citation col-md-8"> <div class="col-md-6 col-sm-8"> <div class="col-sm-12 add-new-line-after"> <a href="https://www.isr-publications.com/jnsa/4816/download-linking-of-bernstein-chlodowsky-and-szasz-appell-kantorovich-type-operators" target="_blank" class="btn btn-primary btn-sm"><strong>Download PDF</strong></a> <div class="btn-group"> <a target="_blank" class="btn btn-success btn-sm" 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pull-right"></span></a> </li> </ul> </li> </ul> </div> </div> <div class="col-md-4 col-sm-4"> <div class="col-xs-6"> <ul class="metrics"> <li class="metrics_item"> <span class="metrics_views">2356</span> <span class="metrics_label">Downloads</span> </li> <li class="metrics_item"> <span class="metrics_views">4003</span> <span class="metrics_label">Views</span> </li> </ul> </div> <div class="col-xs-6"> <img src="https://www.isr-publications.com/uploads/jnsa/thumb_jnsa.jpg" alt="Journal of Nonlinear Sciences and Applications" height="140px" class="img-rounded" /> </div> </div> </div> </div> <div class="clearfix"></div> <hr> <h3>Authors</h3> <p class="indented-paragraph"> <strong>P. N. Agrawal</strong> <a href="mailto:pnappfma@gmail.com"><span class="glyphicon glyphicon-envelope" aria-hidden="true"></span></a> <span class="affiliation">- Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.</span> <strong>D. Kumar</strong> <a href="mailto:dharmendrak.dav@gmail.com"><span class="glyphicon glyphicon-envelope" aria-hidden="true"></span></a> <span class="affiliation">- Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.</span> <strong>S. Araci</strong> <a href="mailto:mtsrkn@hotmail.com"><span class="glyphicon glyphicon-envelope" aria-hidden="true"></span></a> <span class="affiliation">- Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410, Gaziantep, Turkey.</span> </p> <hr> <h3>Abstract</h3> <p class="general-indentation">In the present paper, we define a sequence of bivariate operators by linking the Bernstein-Chlodowsky operators and the Szász-Kantorovich operators based on Appell polynomials. First, we establish the moments of the operators and then determine the rate of convergence of these operators in terms of the total and partial modulus of continuity. Next, we obtain the order of approximation of the considered operators in a weighted space. Furthermore, we define the associated GBS (Generalized Boolean Sum) operators of the linking operators and then study the rate of convergence with the aid of the Lipschitz class of Bögel continuous functions and the mixed modulus of smoothness.</p> <hr> <h3>Share and Cite</h3> <div class="general-indentation"> <ul class="list-unstyled list-inline"> <li><a href="https://www.facebook.com/dialog/share?app_id=2488960518031259&display=popup&href=https://www.isr-publications.com/jnsa/articles-4816-linking-of-bernstein-chlodowsky-and-szasz-appell-kantorovich-type-operators&hashtag=#appellPolynomials" rel="noopener" target="_blank"><img src="https://www.isr-publications.com/images/icons/fb.png" alt="Share on Facebook" /></a></li> <li><a href="https://twitter.com/intent/tweet?text=Linking of Bernstein-Chlodowsky and Sz sz-Appell-Kantorovich type operators&url=https://www.isr-publications.com/jnsa/articles-4816-linking-of-bernstein-chlodowsky-and-szasz-appell-kantorovich-type-operators&via=RezaSaadati3&hashtags=appellPolynomials,weightedApproximation,gBSOperators" rel="noopener" target="_blank"><img src="https://www.isr-publications.com/images/icons/x.png" alt="Share on X" /></a></li> <li><a href="https://www.linkedin.com/shareArticle?url=https://www.isr-publications.com/jnsa/articles-4816-linking-of-bernstein-chlodowsky-and-szasz-appell-kantorovich-type-operators&mini=true&title=Linking of Bernstein-Chlodowsky and Sz sz-Appell-Kantorovich type operators&summary=In the present paper we define a sequence of bivariate operators by linking the Bernstein-Chlodowsky operators and the Sz sz-Kantorovich operators based on Appell polynomials First we establish the moments of the operators and then determine the rate of convergence of these operators in terms of the total and partial modulus of continuity Next we obtain the order of approximation of the considered operators in a weighted space Furthermore we define the associated GBS Generalized Boolean Sum operators of the linking operators and then study the rate of convergence with the aid of the Lipschitz class of B gel continuous functions and the mixed modulus of smoothness &source=Journal of Nonlinear Sciences and Applications (JNSA)" rel="noopener" target="_blank"><img src="https://www.isr-publications.com/images/icons/ld.png" alt="Share on LinkedIn" /></a></li> </ul> <div> <h5><strong>ISRP Style</strong></h5> <p class="general-indentation">P. N. Agrawal, D. Kumar, S. Araci, Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3288--3302</p> </div> <div> <h5><strong>AMA Style</strong></h5> <p class="general-indentation">Agrawal P. N., Kumar D., Araci S., Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators. J. Nonlinear Sci. Appl. (2017); 10(6):3288--3302</p> </div> <div> <h5><strong>Chicago/Turabian Style</strong></h5> <p class="general-indentation">Agrawal, P. N., Kumar, D., Araci, S.. "Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3288--3302</p> </div> </div> <hr> <h3>Keywords</h3> <ul class="general-indentation list-unstyled list-inline"> <li class="keywords"><span class="glyphicon glyphicon-tag" aria-hidden="true"></span> <i>Appell polynomials</i></li> <li class="keywords"><span class="glyphicon glyphicon-tag" aria-hidden="true"></span> <i>weighted approximation</i></li> <li class="keywords"><span class="glyphicon glyphicon-tag" aria-hidden="true"></span> <i>GBS operators</i></li> <li class="keywords"><span class="glyphicon glyphicon-tag" aria-hidden="true"></span> <i>partial and mixed modulus of smoothness</i></li> <li class="keywords"><span class="glyphicon glyphicon-tag" aria-hidden="true"></span> <i>Peetre’s K-functional.</i></li> </ul> <hr> <h3>MSC</h3> <ul class="general-indentation list-unstyled list-inline"> <li class="keywords"> <strong>41A25</strong></li> <li class="keywords"> <strong>41A36</strong></li> <li class="keywords"> <strong>41A63</strong></li> <li class="keywords"> <strong>41A10</strong></li> </ul> <hr> <h3>References</h3> <ul class="list-unstyled general-indentation"> <li> [1] <cite> P. 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Journal of Nonlinear Sciences and Applications- Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators