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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1975 Volume 18, Issue 2, Pages 185–192 (Mi mzm7641)
This article is cited in 8 papers

Absolute convergence of Fourier series

Z. A. Chanturiya

Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics

Abstract: In this paper we generalize the Bernshtein-Szász and Zygmund-Szász theorems on the absolute convergence of Fourier series in the classes $\operatorname{Lip}\alpha$.

UDC: 517.51

Received: 26.11.1974


 English version: Mathematical Notes, 1975, 18:2, 695–700

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