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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1969 Volume 33, Issue 1, Pages 39–51 (Mi im2025)

On the order of approximation by Fejér sums

È. A. Storozhenko


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.

UDC: 517.5

MSC: 41A25, 40G10, 33C47, 40A30

Received: 30.11.1969


 English version:
Mathematics of the USSR-Izvestiya, 1969, 3:1, 37–49

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© Steklov Math. Inst. of RAS, 2024