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Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 304–310
DOI: https://doi.org/10.4213/mzm3556 (Mi mzm3556) 		 
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
Full-text PDF (388 kB) Citations (20)
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DOI: https://doi.org/10.4213/mzm3556
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
English version:
Mathematical Notes, 2007, Volume 81, Issue 2, Pages 268–274
DOI: https://doi.org/10.1134/S0001434607010294
Bibliographic databases:
UDC: 517.518.4
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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