A note on the convergence of Phillips operators by the sequence of functions via q-calculus

The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators. We concentrate on the uniform modulus of smoothness in a simple manner before moving on to the approximation in weighted Korovkin’s space. Our study’...

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Main Authors:	Kilicman, Adem, Mursaleen, Mohammad Ayman, Md. Nasiruzzaman
Format:	Article
Published:	De Gruyter 2022
Online Access:	http://psasir.upm.edu.my/id/eprint/100261/ https://www.degruyter.com/document/doi/10.1515/dema-2022-0154/html
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Institution:	Universiti Putra Malaysia

id	my.upm.eprints.100261
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spelling	my.upm.eprints.1002612024-07-09T03:20:19Z http://psasir.upm.edu.my/id/eprint/100261/ A note on the convergence of Phillips operators by the sequence of functions via q-calculus Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators. We concentrate on the uniform modulus of smoothness in a simple manner before moving on to the approximation in weighted Korovkin’s space. Our study’s goals and outcomes are to fully develop the uniformly approximated findings of Phillips operators. We determine the order of convergence in terms of Lipschitz maximal function and Peetre’s K-functional. In addition, the Voronovskaja-type theorem is also proved. De Gruyter 2022-09-27 Article PeerReviewed Kilicman, Adem and Mursaleen, Mohammad Ayman and Md. Nasiruzzaman (2022) A note on the convergence of Phillips operators by the sequence of functions via q-calculus. Demonstratio Mathematica, 55 (1). pp. 615-633. ISSN 2391-4661 https://www.degruyter.com/document/doi/10.1515/dema-2022-0154/html 10.1515/dema-2022-0154
institution	Universiti Putra Malaysia
building	UPM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Putra Malaysia
content_source	UPM Institutional Repository
url_provider	http://psasir.upm.edu.my/
description	The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators. We concentrate on the uniform modulus of smoothness in a simple manner before moving on to the approximation in weighted Korovkin’s space. Our study’s goals and outcomes are to fully develop the uniformly approximated findings of Phillips operators. We determine the order of convergence in terms of Lipschitz maximal function and Peetre’s K-functional. In addition, the Voronovskaja-type theorem is also proved.
format	Article
author	Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman
spellingShingle	Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman A note on the convergence of Phillips operators by the sequence of functions via q-calculus
author_facet	Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman
author_sort	Kilicman, Adem
title	A note on the convergence of Phillips operators by the sequence of functions via q-calculus
title_short	A note on the convergence of Phillips operators by the sequence of functions via q-calculus
title_full	A note on the convergence of Phillips operators by the sequence of functions via q-calculus
title_fullStr	A note on the convergence of Phillips operators by the sequence of functions via q-calculus
title_full_unstemmed	A note on the convergence of Phillips operators by the sequence of functions via q-calculus
title_sort	note on the convergence of phillips operators by the sequence of functions via q-calculus
publisher	De Gruyter
publishDate	2022
url	http://psasir.upm.edu.my/id/eprint/100261/ https://www.degruyter.com/document/doi/10.1515/dema-2022-0154/html
_version_	1805889516924305408

A note on the convergence of Phillips operators by the sequence of functions via q-calculus

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