Higher Order Approximation of Functions by Modified Goodman-Sharma Operators
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912129775304704 |
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| author | Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen |
| author_facet | Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen |
| contents | Here we study the approximation properties of a modified Goodman-Sharma operator recently considered by Acu and Agrawal in 2019. This operator is linear but not positive. It has the advantage of a higher order of approximation of functions compared with the Goodman-Sharma operator. We prove direct and strong converse theorems in terms of a related K-functional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06908 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher Order Approximation of Functions by Modified Goodman-Sharma Operators Gadjev, Ivan Parvanov, Parvan Uluchev, Rumen Classical Analysis and ODEs 41A35, 41A10, 41A25, 41A27, 41A17 Here we study the approximation properties of a modified Goodman-Sharma operator recently considered by Acu and Agrawal in 2019. This operator is linear but not positive. It has the advantage of a higher order of approximation of functions compared with the Goodman-Sharma operator. We prove direct and strong converse theorems in terms of a related K-functional. |
| title | Higher Order Approximation of Functions by Modified Goodman-Sharma Operators |
| topic | Classical Analysis and ODEs 41A35, 41A10, 41A25, 41A27, 41A17 |
| url | https://arxiv.org/abs/2410.06908 |