This article is cited in 21 papers

On the Uniform Convergence of Trigonometric Series

S. Yu. Tikhonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In this paper, we obtain sufficient conditions for the uniform convergence of trigonometric series with monotone (in the extended sense) coefficients.

Keywords: trigonometric series, uniform convergence, monotone (in the extended sense) sequence, lacunary sequence, quasimonotone sequence, Abel transformation.

UDC: 517.518.4

Received: 28.04.2005
Revised: 09.07.2006

DOI: 10.4213/mzm3556

 English version: Mathematical Notes, 2007, 81:2, 268–274

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