Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916138585161728 |
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| author | Acu, Ana-Maria Gonska, Heiner |
| author_facet | Acu, Ana-Maria Gonska, Heiner |
| contents | Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the $d$-variate case. The method employed can be carried over to many other cases and is not restricted to Bernstein-type or similar methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16485 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result Acu, Ana-Maria Gonska, Heiner Classical Analysis and ODEs 41A10, 41A17, 41A25, 41A36, 41A63 Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the $d$-variate case. The method employed can be carried over to many other cases and is not restricted to Bernstein-type or similar methods. |
| title | Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result |
| topic | Classical Analysis and ODEs 41A10, 41A17, 41A25, 41A36, 41A63 |
| url | https://arxiv.org/abs/2402.16485 |