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This article is cited in 20 scientific papers (total in 20 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.
Received: 28.04.2005 Revised: 09.07.2006
Citation:
S. Yu. Tikhonov, “On the Uniform Convergence of Trigonometric Series”, Mat. Zametki, 81:2 (2007), 304–310; Math. Notes, 81:2 (2007), 268–274
Linking options:
https://www.mathnet.ru/eng/mzm3556https://doi.org/10.4213/mzm3556 https://www.mathnet.ru/eng/mzm/v81/i2/p304
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