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Eurasian Mathematical Journal, 2020, Volume 11, Number 4, Pages 95–100
DOI: https://doi.org/10.32523/2077-9879-2020-11-4-95-100 (Mi emj386) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on derivatives

A. A. Vasil'eva

Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, GSP-1, 1 Leninskiye Gory, Main Building, 119991 Moscow, Russia
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DOI: https://doi.org/10.32523/2077-9879-2020-11-4-95-100
Abstract: In this paper order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on the derivatives of order $r$ and $0$ are obtained. The functions are defined on a John domain or on $\mathbb{R}^d$.
Keywords and phrases: Kolmogorov widths, weighted Sobolev classes, intersections of function classes.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332
The research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 19-01-00332).
Received: 04.05.2020
Bibliographic databases:
Document Type: Article
MSC: 41A46
Language: English
Citation: A. A. Vasil'eva, “Order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on derivatives”, Eurasian Math. J., 11:4 (2020), 95–100
Citation in format AMSBIB
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\by A.~A.~Vasil'eva
\paper Order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on derivatives
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 4
\pages 95--100
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