The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators

In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre’s K-functional and partial modul...

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Autores principales: Agrawal, Purshottam Narain, Baxhaku, Behar, Chauhan, Ruchi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569158/
https://www.ncbi.nlm.nih.gov/pubmed/28890633
http://dx.doi.org/10.1186/s13660-017-1465-1
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author Agrawal, Purshottam Narain
Baxhaku, Behar
Chauhan, Ruchi
author_facet Agrawal, Purshottam Narain
Baxhaku, Behar
Chauhan, Ruchi
author_sort Agrawal, Purshottam Narain
collection PubMed
description In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of these operators and study the degree of approximation by means of the Lipschitz class of Bögel continuous functions. Finally, we present some graphical examples to illustrate the rate of convergence of the operators under consideration.
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spelling pubmed-55691582017-09-07 The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators Agrawal, Purshottam Narain Baxhaku, Behar Chauhan, Ruchi J Inequal Appl Research In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of these operators and study the degree of approximation by means of the Lipschitz class of Bögel continuous functions. Finally, we present some graphical examples to illustrate the rate of convergence of the operators under consideration. Springer International Publishing 2017-08-23 2017 /pmc/articles/PMC5569158/ /pubmed/28890633 http://dx.doi.org/10.1186/s13660-017-1465-1 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Agrawal, Purshottam Narain
Baxhaku, Behar
Chauhan, Ruchi
The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title_full The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title_fullStr The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title_full_unstemmed The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title_short The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
title_sort approximation of bivariate chlodowsky-szász-kantorovich-charlier-type operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569158/
https://www.ncbi.nlm.nih.gov/pubmed/28890633
http://dx.doi.org/10.1186/s13660-017-1465-1
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