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Matematicheskie Zametki, 2021, Volume 110, Issue 6, Pages 865–874
DOI: https://doi.org/10.4213/mzm13180 (Mi mzm13180) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics of Sums of Cosine Series with Fractional Monotonicity Coefficients

M. I. Dyachenko

Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (563 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm13180
Abstract: The paper examines the following question: Under what orders of monotonicity are the upper and lower bounds of the sum of a cosine series near zero valid if they are obtained using the function $\sum_{n=0}^{[\pi/x]}(n+1)\Delta(\mathbf a)_n$?
Keywords: Fourier series, asymptotics, monotone coefficients.
Funding agency Grant number
Russian Science Foundation 21-11-00131
This work was supported by the Russian Science Foundation under grant 21-11-00131 at Lomonosov Moscow State University.
Received: 06.06.2021
Revised: 03.07.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 6, Pages 894–902
DOI: https://doi.org/10.1134/S0001434621110250
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: M. I. Dyachenko, “Asymptotics of Sums of Cosine Series with Fractional Monotonicity Coefficients”, Mat. Zametki, 110:6 (2021), 865–874; Math. Notes, 110:6 (2021), 894–902
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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