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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 1, Pages 3–14
DOI: https://doi.org/10.33048/smzh.2024.65.101 (Mi smj7835) 		 
Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a finite segment

V. N. Belykh

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2024.65.101
Abstract: We obtain two-sided estimates for Alexandrov's $n$-width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.
Keywords: compact set, $n$-width, infinitely differentiable function, Gevrey class.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
Received: 06.12.2022
Revised: 05.09.2023
Accepted: 28.11.2023
Document Type: Article
UDC: 519.6+515.127
MSC: 35R30
Language: Russian
Citation: V. N. Belykh, “Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a finite segment”, Sibirsk. Mat. Zh., 65:1 (2024), 3–14
Citation in format AMSBIB
\Bibitem{Bel24}
\by V.~N.~Belykh
\paper Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a~finite segment
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/smj7835}
\crossref{https://doi.org/10.33048/smzh.2024.65.101}
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