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Izvestiya: Mathematics, 2021, Volume 85, Issue 1, Pages 1–23
DOI: https://doi.org/10.1070/IM8969 (Mi im8969) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives

A. A. Vasil'eva

Moscow Center for Fundamental and Applied Mathematics
English version PDF (618 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM8969
Abstract: In the paper, we obtain order estimates for the Kolmogorov widths of the intersection of weighted Sobolev classes with conditions on the first and zeroth derivatives; the weights have power-law form.
Keywords: widths, intersections of function classes, weighted Sobolev classes.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332
This research was supported by the Russian Foundation for Basic Research (grant no. 19-01-00332).
Received: 23.09.2019
Revised: 28.05.2020
Bibliographic databases:
Document Type: Article
UDC: 517.518.224
MSC: 41A46
Language: English
Original paper language: Russian
Citation: A. A. Vasil'eva, “Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives”, Izv. Math., 85:1 (2021), 1–23
Citation in format AMSBIB
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\by A.~A.~Vasil'eva
\paper Kolmogorov widths of~intersections of~weighted Sobolev classes on an~interval with conditions on the zeroth and first derivatives
\jour Izv. Math.
\yr 2021
\vol 85
\issue 1
\pages 1--23
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  • https://doi.org/10.1070/IM8969
  • https://www.mathnet.ru/eng/im/v85/i1/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:464
    Russian version PDF:79
    English version PDF:30
    Russian version HTML:140
    References:50
    First page:28
     
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