Kolmogorov widths of the class $W_1^1$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915144800403456 |
|---|---|
| author | Malykhin, Yuri |
| author_facet | Malykhin, Yuri |
| contents | We prove that $d_n(W^1_1,L_q)\asymp n^{-1/2}\log n$, $2<q<\infty$. This completes the study of orders of decay of Kolmogorov widths for the classical case of the univariate Sobolev classes of integer smoothness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kolmogorov widths of the class $W_1^1$ Malykhin, Yuri Functional Analysis We prove that $d_n(W^1_1,L_q)\asymp n^{-1/2}\log n$, $2<q<\infty$. This completes the study of orders of decay of Kolmogorov widths for the classical case of the univariate Sobolev classes of integer smoothness. |
| title | Kolmogorov widths of the class $W_1^1$ |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2502.06716 |