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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 1, Pages 37–49
DOI: https://doi.org/10.1070/IM1969v003n01ABEH000745 (Mi im2025) 		 
On the order of approximation by Fejér sums

È. A. Storozhenko
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DOI: https://doi.org/10.1070/IM1969v003n01ABEH000745
Abstract: In this paper we study the degree of approximation almost everywhere by Fejér sums of orthogonal series $\displaystyle\sum^\infty_{k=0}c_k\varphi_k(x)$, where the coefficients $c_k$ satisfy special conditions.
Received: 30.11.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 1, Pages 39–51
Bibliographic databases:
UDC: 517.5
MSC: 41A25, 40G10, 33C47, 40A30
Language: English
Original paper language: Russian
Citation: È. A. Storozhenko, “On the order of approximation by Fejér sums”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969), 39–51; Math. USSR-Izv., 3:1 (1969), 37–49
Citation in format AMSBIB
\Bibitem{Sto69}
\by \`E.~A.~Storozhenko
\paper On the order of approximation by Fej\'er sums
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 1
\pages 39--51
\mathnet{http://mi.mathnet.ru/im2025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=241886}
\zmath{https://zbmath.org/?q=an:0188.37502|0192.42903}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 1
\pages 37--49
\crossref{https://doi.org/10.1070/IM1969v003n01ABEH000745}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:119
    English version PDF:4
    References:46
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