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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1197–1213
DOI: https://doi.org/10.17377/smzh.2018.59.601 (Mi smj3039) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (367 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2018.59.601
Abstract: We calculate asymptotics for the Kolmogorov $\varepsilon$-entropy of the compact set of infinitely differentiable aperiodic functions embedded continuously into the space of continuous functions on a closed finite interval.
Keywords: $\varepsilon$-entropy, compact set, infinitely differentiable function, Gevrey class.
Received: 03.09.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 947–959
DOI: https://doi.org/10.1134/S0037446618060010
Bibliographic databases:
Document Type: Article
UDC: 517.518.222
MSC: 35R30
Language: Russian
Citation: V. N. Belykh, “The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions”, Sibirsk. Mat. Zh., 59:6 (2018), 1197–1213; Siberian Math. J., 59:6 (2018), 947–959
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/smj3039
  • https://www.mathnet.ru/eng/smj/v59/i6/p1197
    • This publication is cited in the following 2 articles:
    1. V. N. Belykh, “Estimates of Alexandrov's $ n $-Width of the Compact Set of $ C^{\infty} $-Smooth Functions on a Finite Segment”, Sib Math J, 65:1 (2024), 1  crossref
    2. V. N. Belykh, “Otsenki aleksandrovskogo $n$-poperechnika kompakta $C^{\infty}$-gladkikh funktsii na konechnom otrezke”, Sib. matem. zhurn., 65:1 (2024), 3–14  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :77
    References:52
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