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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
Full-text PDF (368 kB) Citations (3)
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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 p0 and p1 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}
Linking options:
  • https://www.mathnet.ru/eng/ivm9692
  • https://www.mathnet.ru/eng/ivm/y2021/i7/p23
    • This publication is cited in the following 3 articles:
    1. Yue Li, Guanggui Chen, Yanyan Xu, Xiangyu Pan, “The Approximation Characteristics of Weighted Band-Limited Function Space”, Mathematics, 12:9 (2024), 1348  crossref
    2. A.A. Vasil'eva, “Kolmogorov widths of intersections of finite-dimensional balls”, Journal of Complexity, 72 (2022), 101649  crossref
    3. A. A. Vasil'eva, “Bounds for the Kolmogorov Widths of the Sobolev Weighted Classes with Conditions on the Zero and Highest Derivatives”, Russ. J. Math. Phys., 29:2 (2022), 249  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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