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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 450–454
DOI: https://doi.org/10.4213/mzm11031 (Mi mzm11031) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Rate of Convergence in $L$ of Fourier Sine Series with Monotone Coefficients

S. A. Telyakovskii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (349 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11031
Abstract: It is shown that the exact order of decrease of the norm in $L$ of the remainder of a Fourier sine series with monotone coefficients can be expressed in terms of the coefficients of the series just as for a series with convex coefficients. But the numerical multipliers in the estimates are different.
Keywords: convergence in $L$, sine series with monotone coefficients.
Received: 10.12.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 472–476
DOI: https://doi.org/10.1134/S0001434616090145
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: S. A. Telyakovskii, “On the Rate of Convergence in $L$ of Fourier Sine Series with Monotone Coefficients”, Mat. Zametki, 100:3 (2016), 450–454; Math. Notes, 100:3 (2016), 472–476
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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