Genuine modified Bernstein–Durrmeyer operators

The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text] -functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type...

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Autores principales: Mohiuddine, Syed Abdul, Acar, Tuncer, Alghamdi, Mohammed A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5934498/
https://www.ncbi.nlm.nih.gov/pubmed/29755244
http://dx.doi.org/10.1186/s13660-018-1693-z
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author Mohiuddine, Syed Abdul
Acar, Tuncer
Alghamdi, Mohammed A.
author_facet Mohiuddine, Syed Abdul
Acar, Tuncer
Alghamdi, Mohammed A.
author_sort Mohiuddine, Syed Abdul
collection PubMed
description The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text] -functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented.
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spelling pubmed-59344982018-05-09 Genuine modified Bernstein–Durrmeyer operators Mohiuddine, Syed Abdul Acar, Tuncer Alghamdi, Mohammed A. J Inequal Appl Research The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text] -functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented. Springer International Publishing 2018-05-03 2018 /pmc/articles/PMC5934498/ /pubmed/29755244 http://dx.doi.org/10.1186/s13660-018-1693-z 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
Mohiuddine, Syed Abdul
Acar, Tuncer
Alghamdi, Mohammed A.
Genuine modified Bernstein–Durrmeyer operators
title Genuine modified Bernstein–Durrmeyer operators
title_full Genuine modified Bernstein–Durrmeyer operators
title_fullStr Genuine modified Bernstein–Durrmeyer operators
title_full_unstemmed Genuine modified Bernstein–Durrmeyer operators
title_short Genuine modified Bernstein–Durrmeyer operators
title_sort genuine modified bernstein–durrmeyer operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5934498/
https://www.ncbi.nlm.nih.gov/pubmed/29755244
http://dx.doi.org/10.1186/s13660-018-1693-z
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AT alghamdimohammeda genuinemodifiedbernsteindurrmeyeroperators

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