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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.05893 |
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Table of Contents:
- In this paper, order estimates for the Kolmogorov $n$-widths of an intersection of an arbitrary family of balls $ν_αB^{\overline{k}}_{\overline{p}_α}$ in $l_q^k$ are obtained for $1\le q\le 2$, $n\le \frac k2$. Here $\overline{p}_α= (p_{α,1}, \, \dots, \, p_{α,d})$, $\overline{k}=(k_1, \, \dots, \, k_d)$, $k=k_1\dots k_d$, $B^{\overline{k}}_{\overline{p}_α}$ is the unit ball with respect to the anisotropic norm given by the vector $\overline{p}_α$.