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’...
| Main Authors: | , , |
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| Format: | Article |
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De Gruyter
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100261/ |
| _version_ | 1848863277359038464 |
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| author | Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman |
| author_facet | Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:30:22Z |
| format | Article |
| id | upm-100261 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:30:22Z |
| publishDate | 2022 |
| publisher | De Gruyter |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Kilicman, Adem Mursaleen, Mohammad Ayman Md. Nasiruzzaman A note on the convergence of Phillips operators by the sequence of functions via q-calculus |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/100261/ http://psasir.upm.edu.my/id/eprint/100261/ http://psasir.upm.edu.my/id/eprint/100261/ |