3 papers
math.FA2026
Kolmogorov widths of an intersection of Besov classes with dominating mixed smoothness in a Besov space
A. A. Vasil'eva
In this paper, we obtain order estimates for the Kolmogorov widths of an intersection of a finite family of Besov classes with domina…
math.FA2025
Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain
A. A. Vasil'eva
In the present paper we improve Besov's recent result about upper estimates for the entropy numbers of Sobolev classes on a Hölder domain (in the case when the definition of the S…
math.FA2024
Kolmogorov widths of anisotropic Sobolev classes
A. A. Vasil'eva
In this article, order estimates for the Kolmogorov widths of periodic anisotropic Sobolev and Nikol'skii classes are obtained, as well as order estimates for the Kolmogorov widths…