Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results

The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text] -integers which is based on a continuously differentiable function μ on [Formula: see text] . We establish the Korovkin type approximation results and compute the degree of appro...

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Autores principales: Mursaleen, M, Nasiruzzaman, Md, Ansari, Khursheed J, 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/PMC5736783/
https://www.ncbi.nlm.nih.gov/pubmed/29290665
http://dx.doi.org/10.1186/s13660-017-1582-x
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author Mursaleen, M
Nasiruzzaman, Md
Ansari, Khursheed J
Alotaibi, Abdullah
author_facet Mursaleen, M
Nasiruzzaman, Md
Ansari, Khursheed J
Alotaibi, Abdullah
author_sort Mursaleen, M
collection PubMed
description The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text] -integers which is based on a continuously differentiable function μ on [Formula: see text] . We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.
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spelling pubmed-57367832017-12-29 Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results Mursaleen, M Nasiruzzaman, Md Ansari, Khursheed J Alotaibi, Abdullah J Inequal Appl Research The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text] -integers which is based on a continuously differentiable function μ on [Formula: see text] . We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators. Springer International Publishing 2017-12-19 2017 /pmc/articles/PMC5736783/ /pubmed/29290665 http://dx.doi.org/10.1186/s13660-017-1582-x 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
Ansari, Khursheed J
Alotaibi, Abdullah
Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title_full Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title_fullStr Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title_full_unstemmed Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title_short Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results
title_sort generalized [formula: see text] -bleimann-butzer-hahn operators and some approximation results
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5736783/
https://www.ncbi.nlm.nih.gov/pubmed/29290665
http://dx.doi.org/10.1186/s13660-017-1582-x
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AT ansarikhursheedj generalizedformulaseetextbleimannbutzerhahnoperatorsandsomeapproximationresults
AT alotaibiabdullah generalizedformulaseetextbleimannbutzerhahnoperatorsandsomeapproximationresults

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