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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2015 Volume 21, Number 4, Pages 109–114 (Mi timm1234)
On the divergence of trigonometric Fourier series in classes $\varphi(L)$ contained in $L$

M. R. Gabdullin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: We show the unimprovability of a theorem on sufficient convergence conditions for the trigonometric Fourier series of a function in classes $\varphi(L)$ in the case when the class $\varphi(L)$ is “close” to $L$.

Keywords: trigonometric Fourier series, classes $\varphi(l)$.

UDC: 517.518.452

Received: 22.05.2015


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 297, suppl. 1, 81–87

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© Steklov Math. Inst. of RAS, 2025