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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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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
score 13.18916

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