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Tr. Mat. Inst. Steklova, 2010, Volume 269, Pages 242–253
(Mi tm2888)
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This article is cited in 2 scientific papers (total in 2 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
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 $MW_C^j$, $j<r$.
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English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 269, 235–246
Bibliographic databases:
UDC:
517.518.224 Received in October 2009
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, Tr. 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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\pages 242--253
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Citing articles on Google Scholar:
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English citations
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Russian articles,
English articles
This publication is cited in the following articles:
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Yu. N. Subbotin, S. A. Telyakovskii, “Ob otnositelnykh poperechnikakh klassov differentsiruemykh funktsii. III”, Tr. IMM UrO RAN, 17, no. 3, 2011, 300–302
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Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Math. Notes, 97:4 (2015), 598–604
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