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Matematicheskie Zametki, 2021, Volume 109, Issue 5, Pages 768–780
DOI: https://doi.org/10.4213/mzm12928
(Mi mzm12928)
 

This article is cited in 9 scientific papers (total in 9 papers)

Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients

A. Yu. Popov

Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (455 kB) Citations (9)
References:
Abstract: The paper refines the currently known estimates of sums of sine series with monotone coefficients, as well as the upper bound for the sum of the cosine series with convex coefficients.
Keywords: sine series, cosine series, monotone coefficients.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584
This work was supported by the Russian Foundation for Basic Research under grant 20-01-00584.
Received: 14.10.2020
Revised: 27.12.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 5, Pages 808–818
DOI: https://doi.org/10.1134/S0001434621050126
Bibliographic databases:
Document Type: Article
UDC: 517.518.4
Language: Russian
Citation: A. Yu. Popov, “Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients”, Mat. Zametki, 109:5 (2021), 768–780; Math. Notes, 109:5 (2021), 808–818
Citation in format AMSBIB
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\pages 768--780
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Linking options:
  • https://www.mathnet.ru/eng/mzm12928
  • https://doi.org/10.4213/mzm12928
  • https://www.mathnet.ru/eng/mzm/v109/i5/p768
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:368
    Full-text PDF :157
    References:56
    First page:35
     
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