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arXiv · 2606.11436

Kolmogorov widths of an intersection of Besov classes with dominating mixed smoothness in a Besov space

A. A. Vasil'eva
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Abstract

In this paper, we obtain order estimates for the Kolmogorov widths of an intersection of a finite family of Besov classes $SB_{p_j,\theta_j}^{\overline{r}_j}(\mathbb{T}^d)$ with dominating mixed smoothness in a Besov space $B_{q,\sigma}^{\overline{l}}(\mathbb{T}^d)$ in the case $2<q, \, \sigma <\infty$ when the parameters satisfy certain conditions of general position.

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A. A. Vasil'eva. 2026-06-09. Kolmogorov widths of an intersection of Besov classes with dominating mixed smoothness in a Besov space. https://arxiv.org/abs/2606.11436

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