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Eurasian Mathematical Journal, 2024, Volume 15, Number 3, Pages 88–93
DOI: https://doi.org/10.32523/2077-9879-2024-15-3-88-93 (Mi emj514) 		 
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Kolmogorov widths of anisotropic function classes and finite-dimensional balls

A. A. Vasil'eva

Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, GSP-1, Leninskiye gory, 1, MSU, Main building, faculty of mechanics and mathematics, 119991 Moscow, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2024-15-3-88-93
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.
Keywords and phrases: Kolmogorov widths, anisotropic norms, Sobolev classes, Nikol'skii classes.
Received: 05.04.2024
Document Type: Article
MSC: 41A46
Language: English
Citation: A. A. Vasil'eva, “Kolmogorov widths of anisotropic function classes and finite-dimensional balls”, Eurasian Math. J., 15:3 (2024), 88–93
Citation in format AMSBIB
\Bibitem{Vas24}
\by A.~A.~Vasil'eva
\paper Kolmogorov widths of anisotropic function classes and finite-dimensional balls
\jour Eurasian Math. J.
\yr 2024
\vol 15
\issue 3
\pages 88--93
\mathnet{http://mi.mathnet.ru/emj514}
\crossref{https://doi.org/10.32523/2077-9879-2024-15-3-88-93}
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