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Matematicheskie Zametki, 2018, Volume 104, Issue 5, Pages 725–736
DOI: https://doi.org/10.4213/mzm11855 (Mi mzm11855) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant

A. Yu. Popov, A. P. Solodov

Lomonosov Moscow State University
Full-text PDF (463 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11855
Abstract: New estimates of the sums of sine series with monotone coefficients of special classes in terms of the Salem majorant are obtained. The asymptotic sharpness of the obtained estimates for sequences of coefficients from the classes under consideration is proved.
Keywords: sine series, asymptotic behavior, monotone coefficients.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
This work was supported by the Program of the President of the Russian Federation for the State Support of Leading Scientific Schools under grant NSh-6222.2018.1.
Received: 08.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 5, Pages 702–711
DOI: https://doi.org/10.1134/S0001434618110111
Bibliographic databases:
Document Type: Article
UDC: 517.518.4
Language: Russian
Citation: A. Yu. Popov, A. P. Solodov, “Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant”, Mat. Zametki, 104:5 (2018), 725–736; Math. Notes, 104:5 (2018), 702–711
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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