On the divergence of trigonometric Fourier series in classes ϕ(L) close to L


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Abstract

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

About the authors

M. R. Gabdullin

Krasovskii Institute of Mathematics and Mechanics

Author for correspondence.
Email: Gabdullin.Mikhail@ya.ru
Russian Federation, Yekaterinburg, 620990

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