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The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2018, Volume: 59, Number: 6, Pages: 947-959 Pages count : 13 DOI: 10.1134/S0037446618060010
Tags compact set; Gevrey class; infinitely differentiable function; ε-entropy
Authors Belykh V.N. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Abstract: We calculate asymptotics for the Kolmogorov ε-entropy of the compact set of infinitely differentiable aperiodic functions embedded continuously into the space of continuous functions on a closed finite interval. © 2018, Pleiades Publishing, Ltd.
Cite: Belykh V.N.
The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions
Siberian Mathematical Journal. 2018. V.59. N6. P.947-959. DOI: 10.1134/S0037446618060010 WOS Scopus OpenAlex
Original: Белых В.Н.
Об абсолютной ε-энтропии одного компакта бесконечно дифференцируемых непериодических функций,
Сибирский математический журнал. 2018. Т.59. №6. С.1197-1213.. DOI: 10.17377/smzh.2018.59.601
Identifiers:
Web of science: WOS:000454441000001
Scopus: 2-s2.0-85059779389
OpenAlex: W4243966292
Citing:
DB Citing
Scopus 1
OpenAlex 1
Web of science 1
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