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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 $d_n(W_C^r,C)$ and the relative widths $K_n(W_C^r,MW_C^j,C)$ of the class $W_C^r$ with respect to the class $MW_C^j$, $j<r$, where $r-j$ is odd, are equal.
Keywords: Kolmogorov width, relative width of a class, differentiable function, $2\pi$-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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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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