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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 3, Pages 551–569
DOI: https://doi.org/10.1070/IM1977v011n03ABEH001735 (Mi im1825) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotic behavior of best approximations of continuous functions

V. N. Temlyakov
English version PDF (628 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/IM1977v011n03ABEH001735
Abstract: In this paper it is proved that in each class $W^rH_\omega$, $r=0,1,\dots$, with convex modulus of continuity $\omega$ there exists a function $f$ whose best approximations admit the limit behavior
$$ \lim_{n\to\infty}E_n(f)/E_n(W^rH_\omega)=1. $$

Bibliography: 11 titles.
Received: 10.05.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 3, Pages 587–606
Bibliographic databases:
UDC: 517.5
MSC: 41A25, 41A50, 42A08
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “Asymptotic behavior of best approximations of continuous functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:3 (1977), 587–606; Math. USSR-Izv., 11:3 (1977), 551–569
Citation in format AMSBIB
\Bibitem{Tem77}
\by V.~N.~Temlyakov
\paper Asymptotic behavior of best approximations of continuous functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 3
\pages 587--606
\mathnet{http://mi.mathnet.ru/im1825}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=461007}
\zmath{https://zbmath.org/?q=an:0382.41014}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 3
\pages 551--569
\crossref{https://doi.org/10.1070/IM1977v011n03ABEH001735}
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  • https://www.mathnet.ru/eng/im/v41/i3/p587
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:331
    Russian version PDF:94
    English version PDF:20
    References:59
    First page:2
     
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