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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 269, Pages 242–253 (Mi tm2888)  
This article is cited in 4 scientific papers (total in 4 papers)

Sharpening of the estimates for 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, Yekaterinburg, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (177 kB) Citations (4)
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Abstract: We improve the earlier obtained upper estimates for the least value of the coefficient $M$ for which the Kolmogorov widths $d_n(W_C^r,C)$ of the function class $W_C^r$ are equal to the relative widths $K_n(W_C^r,MW_C^j,C)$ of the class $W_C^r$ with respect to the class $MW_C^j$, $j<r$.
Received in October 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 235–246
DOI: https://doi.org/10.1134/S0081543810020203
Bibliographic databases:
Document Type: Article
UDC: 517.518.224
Language: Russian
Citation: Yu. N. Subbotin, S. A. Telyakovskii, “Sharpening of the estimates for relative widths of classes of differentiable functions”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 242–253; Proc. Steklov Inst. Math., 269 (2010), 235–246
Citation in format AMSBIB
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\paper Sharpening of the estimates for relative widths of classes of differentiable functions
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
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\pages 242--253
\publ MAIK Nauka/Interperiodica
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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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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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