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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 7, Pages 23–29
DOI: https://doi.org/10.26907/0021-3446-2021-7-23-29 (Mi ivm9692) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Kolmogorov widths of the intersection of two finite-dimensional balls

A. A. Vasil'eva

Lomonosov Moscow State University, Moscow Center of Fundamental and Applied Mathematics, GSP-1, 1 Leninskiye Gory, Moscow, 119991 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-7-23-29
Abstract: In this paper order estimates for the Kolmogorov widths of the intersection of two finite-dimensional balls of different radii in $p_0$ and $p_1$ norms are obtained. This problem naturally appeared when estimating the widths of intersections of function classes, which are defined by constraints on the derivatives of different orders.
Keywords: Kolmogorov widths, intersections of finite-dimensional balls.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332
Received: 10.07.2020
Revised: 19.03.2021
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 7, Pages 17–23
DOI: https://doi.org/10.3103/S1066369X21070033
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. A. Vasil'eva, “Kolmogorov widths of the intersection of two finite-dimensional balls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 23–29; Russian Math. (Iz. VUZ), 65:7 (2021), 17–23
Citation in format AMSBIB
\Bibitem{Vas21}
\by A.~A.~Vasil'eva
\paper Kolmogorov widths of the intersection of two finite-dimensional balls
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 7
\pages 23--29
\mathnet{http://mi.mathnet.ru/ivm9692}
\crossref{https://doi.org/10.26907/0021-3446-2021-7-23-29}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 7
\pages 17--23
\crossref{https://doi.org/10.3103/S1066369X21070033}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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