Weighted approximation by generalized Baskakov operators reproducing affine functions
Some extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included.
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| Format: | Article |
| Language: | English |
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Tuncer Acar
2023-12-01
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| Series: | Modern Mathematical Methods |
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| Online Access: | https://modernmathmeth.com/index.php/pub/article/view/3 |
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| _version_ | 1849729868279840768 |
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| author | Jorge Bustamante |
| author_facet | Jorge Bustamante |
| author_sort | Jorge Bustamante |
| collection | DOAJ |
| description | Some extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included. |
| format | Article |
| id | doaj-art-5a7c4606d7dd46f18035aaba7fcbe92a |
| institution | DOAJ |
| issn | 3023-5294 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Tuncer Acar |
| record_format | Article |
| series | Modern Mathematical Methods |
| spelling | doaj-art-5a7c4606d7dd46f18035aaba7fcbe92a2025-08-20T03:09:03ZengTuncer AcarModern Mathematical Methods3023-52942023-12-011130423Weighted approximation by generalized Baskakov operators reproducing affine functionsJorge Bustamante0https://orcid.org/0000-0003-2856-6738Benemerita Universidad Autonoma de Puebla, Facultad de Ciencias Fisico-Matematicas, Puebla, MexicoSome extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included.https://modernmathmeth.com/index.php/pub/article/view/3baskakov type operatorspolynomial weighted spacesrate of convergence |
| spellingShingle | Jorge Bustamante Weighted approximation by generalized Baskakov operators reproducing affine functions Modern Mathematical Methods baskakov type operators polynomial weighted spaces rate of convergence |
| title | Weighted approximation by generalized Baskakov operators reproducing affine functions |
| title_full | Weighted approximation by generalized Baskakov operators reproducing affine functions |
| title_fullStr | Weighted approximation by generalized Baskakov operators reproducing affine functions |
| title_full_unstemmed | Weighted approximation by generalized Baskakov operators reproducing affine functions |
| title_short | Weighted approximation by generalized Baskakov operators reproducing affine functions |
| title_sort | weighted approximation by generalized baskakov operators reproducing affine functions |
| topic | baskakov type operators polynomial weighted spaces rate of convergence |
| url | https://modernmathmeth.com/index.php/pub/article/view/3 |
| work_keys_str_mv | AT jorgebustamante weightedapproximationbygeneralizedbaskakovoperatorsreproducingaffinefunctions |