Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators

In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented. Beside this, we introduce a generalization of the bivari...

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Main Authors: Tuba Vedi-Dilek, Eser Gemikonakli
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/7587401
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author Tuba Vedi-Dilek
Eser Gemikonakli
author_facet Tuba Vedi-Dilek
Eser Gemikonakli
author_sort Tuba Vedi-Dilek
collection DOAJ
description In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented. Beside this, we introduce a generalization of the bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators and investigate its approximation in more general weighted space. Moreover, the numerical results are discussed in order to validate the accuracy of the bivariate Chlodowsky variant of (p,q)-Bernstein-Schurer operators.
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publishDate 2019-01-01
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series Journal of Function Spaces
spelling doaj-art-8f82cf4e550c499bb952aa1c555ecd5f2025-08-20T02:09:28ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/75874017587401Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer OperatorsTuba Vedi-Dilek0Eser Gemikonakli1Institute of Applied Sciences, University of Kyrenia, Girne, Mersin 10, TurkeyDepartment of Computer Engineering, University of Kyrenia, Girne, Mersin 10, TurkeyIn this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented. Beside this, we introduce a generalization of the bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators and investigate its approximation in more general weighted space. Moreover, the numerical results are discussed in order to validate the accuracy of the bivariate Chlodowsky variant of (p,q)-Bernstein-Schurer operators.http://dx.doi.org/10.1155/2019/7587401
spellingShingle Tuba Vedi-Dilek
Eser Gemikonakli
Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
Journal of Function Spaces
title Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
title_full Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
title_fullStr Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
title_full_unstemmed Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
title_short Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators
title_sort bivariate chlodowsky stancu variant of p q bernstein schurer operators
url http://dx.doi.org/10.1155/2019/7587401
work_keys_str_mv AT tubavedidilek bivariatechlodowskystancuvariantofpqbernsteinschureroperators
AT esergemikonakli bivariatechlodowskystancuvariantofpqbernsteinschureroperators