A Dunkl type generalization of Szász operators via post-quantum calculus

The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity. Furthermore, we obtain the rate of convergence of these operators for...

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Detalles Bibliográficos
Autores principales: Alotaibi, Abdullah, Nasiruzzaman, Md., Mursaleen, M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208617/
https://www.ncbi.nlm.nih.gov/pubmed/30839755
http://dx.doi.org/10.1186/s13660-018-1878-5
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author Alotaibi, Abdullah
Nasiruzzaman, Md.
Mursaleen, M.
author_facet Alotaibi, Abdullah
Nasiruzzaman, Md.
Mursaleen, M.
author_sort Alotaibi, Abdullah
collection PubMed
description The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity. Furthermore, we obtain the rate of convergence of these operators for functions belonging to the Lipschitz class. We also study the bivariate version of these operators.
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spelling pubmed-62086172018-11-09 A Dunkl type generalization of Szász operators via post-quantum calculus Alotaibi, Abdullah Nasiruzzaman, Md. Mursaleen, M. J Inequal Appl Research The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity. Furthermore, we obtain the rate of convergence of these operators for functions belonging to the Lipschitz class. We also study the bivariate version of these operators. Springer International Publishing 2018-10-22 2018 /pmc/articles/PMC6208617/ /pubmed/30839755 http://dx.doi.org/10.1186/s13660-018-1878-5 Text en © The Author(s) 2018 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
Alotaibi, Abdullah
Nasiruzzaman, Md.
Mursaleen, M.
A Dunkl type generalization of Szász operators via post-quantum calculus
title A Dunkl type generalization of Szász operators via post-quantum calculus
title_full A Dunkl type generalization of Szász operators via post-quantum calculus
title_fullStr A Dunkl type generalization of Szász operators via post-quantum calculus
title_full_unstemmed A Dunkl type generalization of Szász operators via post-quantum calculus
title_short A Dunkl type generalization of Szász operators via post-quantum calculus
title_sort dunkl type generalization of szász operators via post-quantum calculus
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208617/
https://www.ncbi.nlm.nih.gov/pubmed/30839755
http://dx.doi.org/10.1186/s13660-018-1878-5
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