On modified Dunkl generalization of Szász operators via q-calculus

The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [Formula: see text] than the classical ones. We obtain some approximation results via a well-known Korovkin-type theore...

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Detalles Bibliográficos
Autores principales: Mursaleen, M, Nasiruzzaman, Md, Alotaibi, Abdullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306192/
https://www.ncbi.nlm.nih.gov/pubmed/28239243
http://dx.doi.org/10.1186/s13660-017-1311-5
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author Mursaleen, M
Nasiruzzaman, Md
Alotaibi, Abdullah
author_facet Mursaleen, M
Nasiruzzaman, Md
Alotaibi, Abdullah
author_sort Mursaleen, M
collection PubMed
description The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [Formula: see text] than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class.
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spelling pubmed-53061922017-02-24 On modified Dunkl generalization of Szász operators via q-calculus Mursaleen, M Nasiruzzaman, Md Alotaibi, Abdullah J Inequal Appl Research The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [Formula: see text] than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class. Springer International Publishing 2017-02-07 2017 /pmc/articles/PMC5306192/ /pubmed/28239243 http://dx.doi.org/10.1186/s13660-017-1311-5 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
Mursaleen, M
Nasiruzzaman, Md
Alotaibi, Abdullah
On modified Dunkl generalization of Szász operators via q-calculus
title On modified Dunkl generalization of Szász operators via q-calculus
title_full On modified Dunkl generalization of Szász operators via q-calculus
title_fullStr On modified Dunkl generalization of Szász operators via q-calculus
title_full_unstemmed On modified Dunkl generalization of Szász operators via q-calculus
title_short On modified Dunkl generalization of Szász operators via q-calculus
title_sort on modified dunkl generalization of szász operators via q-calculus
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306192/
https://www.ncbi.nlm.nih.gov/pubmed/28239243
http://dx.doi.org/10.1186/s13660-017-1311-5
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