Kolmogorov widths of anisotropic function classes and finite-dimensional balls

Anastasia Vasil’eva

doi:10.32523/2077-9879-2024-15-3-88-93

Kolmogorov widths of anisotropic function classes and finite-dimensional balls

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Authors

Anastasia Vasil’eva

DOI:

https://doi.org/10.32523/2077-9879-2024-15-3-88-93

Keywords:

Kolmogorov widths, anisotropic norms, Sobolev classes, Nikol'skii classes

Abstract

In this paper, we obtain order estimates for the Kolmogorov widths of anisotropic periodic Sobolev and Nikol'skii classes, as well asanisotropic finite-dimensional balls.

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Published

2024-09-30

How to Cite

Vasil’eva, A. (2024). Kolmogorov widths of anisotropic function classes and finite-dimensional balls. Eurasian Mathematical Journal, 15(3), 88–93. https://doi.org/10.32523/2077-9879-2024-15-3-88-93