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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 456–465
DOI: https://doi.org/10.4213/mzm6330 (Mi mzm6330) 		 
This article is cited in 2 scientific papers (total in 4 papers)

On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions

Yu. N. Subbotina, S. A. Telyakovskiib

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (401 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm6330
Abstract: We obtain sharper estimates of the remainders in the expression for the least value of the multiplier M for which the Kolmogorov widths dn(WrC,C) and the relative widths Kn(WrC,MWjC,C) of the class WrC with respect to the class MWjC, j<r, where r−j is odd, are equal.
Keywords: Kolmogorov width, relative width of a class, differentiable function, 2π-periodic function, Banach space, Favard constant.
Received: 18.09.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 432–439
DOI: https://doi.org/10.1134/S0001434609090168
Bibliographic databases:
Document Type: Article
UDC: 517.224
Language: Russian
Citation: Yu. N. Subbotin, S. A. Telyakovskii, “On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions”, Mat. Zametki, 86:3 (2009), 456–465; Math. Notes, 86:3 (2009), 432–439
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm6330
  • https://doi.org/10.4213/mzm6330
  • https://www.mathnet.ru/eng/mzm/v86/i3/p456
    Erratum
    This publication is cited in the following 4 articles:
    1. S. P. Sidorov, “Linear Relativen-Widths for Linear Operators Preserving an Intersection of Cones”, International Journal of Mathematics and Mathematical Sciences, 2014 (2014), 1  crossref
    2. Gocheva-Ilieva S.G., Feschiev I.H., “New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series”, Abstract Appl. Anal., 2013, 523618  crossref  mathscinet  zmath  isi  elib  scopus
    3. “Yurii Nikolaevich Subbotin. (K semidesyatipyatiletiyu so dnya rozhdeniya)”, Tr. IMM UrO RAN, 17, no. 3, 2011, 8–13  mathnet
    4. Yu. N. Subbotin, S. A. Telyakovskii, “Letter to the Editor”, Math. Notes, 87:3 (2010), 452–452  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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