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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 616–625
DOI: https://doi.org/10.17377/smzh.2018.59.311 (Mi smj2998) 		 
On approximation characteristics of some classes of functions of small smoothness

A. O. Radomskii

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.311
Abstract: We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a lacunar sequence of indices. This result generalizes a result by B. S. Kashin and V. N. Temlyakov.
Keywords: entropy number, Kolmogorov width, trigonometric polynomial.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under Grant 14-50-00005.
Received: 10.10.2016
Revised: 27.02.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 486–493
DOI: https://doi.org/10.1134/S0037446618030114
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 35R30
Language: Russian
Citation: A. O. Radomskii, “On approximation characteristics of some classes of functions of small smoothness”, Sibirsk. Mat. Zh., 59:3 (2018), 616–625; Siberian Math. J., 59:3 (2018), 486–493
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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