On a New Modification of Baskakov Operators with Higher Order of Approximation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912146520014848 |
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| author | Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen |
| author_facet | Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen |
| contents | A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on $[0,\,\infty)$ functions. In our study on the approximation error of the proposed operator we prove direct and strong converse theorems with respect to a related K-functional. This operator is linear but not positive. However it has the advantage of a higher order of approximation compared to the Goodman-Sharma variant of the Baskakov operator defined in 2005 by Finta. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a New Modification of Baskakov Operators with Higher Order of Approximation Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen Classical Analysis and ODEs 41A35, 41A10, 41A25, 41A27, 41A17 A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on $[0,\,\infty)$ functions. In our study on the approximation error of the proposed operator we prove direct and strong converse theorems with respect to a related K-functional. This operator is linear but not positive. However it has the advantage of a higher order of approximation compared to the Goodman-Sharma variant of the Baskakov operator defined in 2005 by Finta. |
| title | On a New Modification of Baskakov Operators with Higher Order of Approximation |
| topic | Classical Analysis and ODEs 41A35, 41A10, 41A25, 41A27, 41A17 |
| url | https://arxiv.org/abs/2412.04586 |