Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators
We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too. We study the rate o...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6673663 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849413484314361856 |
|---|---|
| author | Lahsen Aharouch Khursheed J. Ansari M. Mursaleen |
| author_facet | Lahsen Aharouch Khursheed J. Ansari M. Mursaleen |
| author_sort | Lahsen Aharouch |
| collection | DOAJ |
| description | We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too. We study the rate of point-wise convergence for the functions having a derivative of bounded variation. Furthermore, we establish the quantitative Voronovskaja-type formula in terms of Ditzian-Totik modulus of smoothness at the end. |
| format | Article |
| id | doaj-art-6f32f2083c39435d8aef92ec39ff3b20 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6f32f2083c39435d8aef92ec39ff3b202025-08-20T03:34:05ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66736636673663Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid OperatorsLahsen Aharouch0Khursheed J. Ansari1M. Mursaleen2Department of Mathematics, College of Science, King Khalid University, 61413 Abha, Saudi ArabiaDepartment of Mathematics, College of Science, King Khalid University, 61413 Abha, Saudi ArabiaDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, TaiwanWe give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too. We study the rate of point-wise convergence for the functions having a derivative of bounded variation. Furthermore, we establish the quantitative Voronovskaja-type formula in terms of Ditzian-Totik modulus of smoothness at the end.http://dx.doi.org/10.1155/2021/6673663 |
| spellingShingle | Lahsen Aharouch Khursheed J. Ansari M. Mursaleen Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators Journal of Function Spaces |
| title | Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators |
| title_full | Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators |
| title_fullStr | Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators |
| title_full_unstemmed | Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators |
| title_short | Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators |
| title_sort | approximation by bezier variant of baskakov durrmeyer type hybrid operators |
| url | http://dx.doi.org/10.1155/2021/6673663 |
| work_keys_str_mv | AT lahsenaharouch approximationbybeziervariantofbaskakovdurrmeyertypehybridoperators AT khursheedjansari approximationbybeziervariantofbaskakovdurrmeyertypehybridoperators AT mmursaleen approximationbybeziervariantofbaskakovdurrmeyertypehybridoperators |