A note on the approximation by a sum of two algebras
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909224453275648 |
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| author | Asgarova, Aida Ismailov, Vugar |
| author_facet | Asgarova, Aida Ismailov, Vugar |
| contents | We consider the problem of approximation of a continuous function $f$ defined on a compact metric space $X$ by elements from a sum of two algebras. We prove a de la Vallée Poussin type theorem, which estimates the approximation error $E(f)$ from below. We also obtain a duality formula for the precise computation of $E(f)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09815 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the approximation by a sum of two algebras Asgarova, Aida Ismailov, Vugar Functional Analysis We consider the problem of approximation of a continuous function $f$ defined on a compact metric space $X$ by elements from a sum of two algebras. We prove a de la Vallée Poussin type theorem, which estimates the approximation error $E(f)$ from below. We also obtain a duality formula for the precise computation of $E(f)$. |
| title | A note on the approximation by a sum of two algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2405.09815 |