New modification of the Post Widder operators preserving exponential functions
The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and the rate of convergence of these operators with...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2024.2302536 |
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| _version_ | 1850249934791507968 |
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| author | Melek Sofyalıoğlu Aksoy |
| author_facet | Melek Sofyalıoğlu Aksoy |
| author_sort | Melek Sofyalıoğlu Aksoy |
| collection | DOAJ |
| description | The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and the rate of convergence of these operators with the help of modulus of continuity are estimated. Also, a Voronovskaja-type asymptotic formula is established. After that, numerical results are obtained to confirm the theoretical results. Finally, new constructed operators are compared with modified Post-Widder operators. |
| format | Article |
| id | doaj-art-224dbb49784f47d7aafa88cb2aa4049f |
| institution | OA Journals |
| issn | 2576-5299 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-224dbb49784f47d7aafa88cb2aa4049f2025-08-20T01:58:22ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-013119310310.1080/25765299.2024.2302536New modification of the Post Widder operators preserving exponential functionsMelek Sofyalıoğlu Aksoy0Department of Mathematics, Polatlı Faculty of Science and Letters, Ankara Hacı Bayram Veli University, Ankara, TurkeyThe current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and the rate of convergence of these operators with the help of modulus of continuity are estimated. Also, a Voronovskaja-type asymptotic formula is established. After that, numerical results are obtained to confirm the theoretical results. Finally, new constructed operators are compared with modified Post-Widder operators.https://www.tandfonline.com/doi/10.1080/25765299.2024.2302536Post-Widder operatorsexponential functionsVoronovskaya-type theorem41A2541A3647A58 |
| spellingShingle | Melek Sofyalıoğlu Aksoy New modification of the Post Widder operators preserving exponential functions Arab Journal of Basic and Applied Sciences Post-Widder operators exponential functions Voronovskaya-type theorem 41A25 41A36 47A58 |
| title | New modification of the Post Widder operators preserving exponential functions |
| title_full | New modification of the Post Widder operators preserving exponential functions |
| title_fullStr | New modification of the Post Widder operators preserving exponential functions |
| title_full_unstemmed | New modification of the Post Widder operators preserving exponential functions |
| title_short | New modification of the Post Widder operators preserving exponential functions |
| title_sort | new modification of the post widder operators preserving exponential functions |
| topic | Post-Widder operators exponential functions Voronovskaya-type theorem 41A25 41A36 47A58 |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2024.2302536 |
| work_keys_str_mv | AT meleksofyalıogluaksoy newmodificationofthepostwidderoperatorspreservingexponentialfunctions |