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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 3, Pages 485–501 (Mi smj2214)  
This article is cited in 5 scientific papers (total in 5 papers)

On the absolute $\varepsilon$-entropy of some compact set of infinitely differentiable periodic functions

V. N. Belykh

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (355 kB) Citations (5)
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Abstract: We calculate the principal term of the asymptotics of the Kolmogorov $\varepsilon$-entropy of some compact set of periodic infinitely differentiable functions that is continuously embedded into the space of continuous periodic functions.
Keywords: $\varepsilon$-entropy, compact set, infinitely differentiable function, Gevrey class.
Received: 21.06.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 3, Pages 381–393
DOI: https://doi.org/10.1134/S0037446611030013
Bibliographic databases:
Document Type: Article
UDC: 517.518.222
Language: Russian
Citation: V. N. Belykh, “On the absolute $\varepsilon$-entropy of some compact set of infinitely differentiable periodic functions”, Sibirsk. Mat. Zh., 52:3 (2011), 485–501; Siberian Math. J., 52:3 (2011), 381–393
Citation in format AMSBIB
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\pages 485--501
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    • This publication is cited in the following 5 articles:
    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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