Kolmogorov widths of a Sobolev class with restrictions on the derivatives in different metrics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910334890016768 |
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| author | Vasil'eva, A. A. |
| author_facet | Vasil'eva, A. A. |
| contents | In this paper, we obtain order estimates for the Kolmogorov widths of periodic Sobolev classes with restictions on derivatives of order $r_j$ with respect to $j$th variable in metrics $L_{p_j}$ ($1\le j\le d$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kolmogorov widths of a Sobolev class with restrictions on the derivatives in different metrics Vasil'eva, A. A. Functional Analysis In this paper, we obtain order estimates for the Kolmogorov widths of periodic Sobolev classes with restictions on derivatives of order $r_j$ with respect to $j$th variable in metrics $L_{p_j}$ ($1\le j\le d$). |
| title | Kolmogorov widths of a Sobolev class with restrictions on the derivatives in different metrics |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.11064 |