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Mathematics of the USSR-Sbornik, 1981, Volume 38, Issue 3, Pages 365–380
DOI: https://doi.org/10.1070/SM1981v038n03ABEH001336 (Mi sm2461) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the question of the asymptotic behavior of best approximations of continuous functions

V. N. Temlyakov
English version PDF (641 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1981v038n03ABEH001336
Abstract: For classes of functions with a given majorant of the modulus of continuity of the rth derivative, functions are constructed whose best approximations by trigonometric polynomials behave in the same way on a certain subsequence of indices as the suprema of the corresponding best approximations on these classes.
Bibliography: 6 titles.
Received: 20.10.1978
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A10, 41A50; Secondary 26A15
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “On the question of the asymptotic behavior of best approximations of continuous functions”, Math. USSR-Sb., 38:3 (1981), 365–380
Citation in format AMSBIB
\Bibitem{Tem79}
\by V.~N.~Temlyakov
\paper On the question of the asymptotic behavior of best approximations of continuous functions
\jour Math. USSR-Sb.
\yr 1981
\vol 38
\issue 3
\pages 365--380
\mathnet{http://mi.mathnet.ru//eng/sm2461}
\crossref{https://doi.org/10.1070/SM1981v038n03ABEH001336}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=554121}
\zmath{https://zbmath.org/?q=an:0462.42004|0433.41009}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LP24300003}
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  • https://doi.org/10.1070/SM1981v038n03ABEH001336
  • https://www.mathnet.ru/eng/sm/v152/i3/p399
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:284
    Russian version PDF:93
    English version PDF:7
    References:57
    First page:1
     
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