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Matematicheskie Zametki, 2014, Volume 96, Issue 5, Pages 747–761
DOI: https://doi.org/10.4213/mzm10435 (Mi mzm10435) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients

A. Yu. Popov

M. V. Lomonosov Moscow State University
Full-text PDF (478 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10435
Abstract: In this paper, the extremal problem of finding the infimum of the positive roots of the sum of a sine series with monotone coefficients for special subclasses of such series is solved.
Keywords: sine series, trigonometric polynomial, Abel transformation, roots of the sum of a series.
Received: 24.12.2013
Revised: 26.05.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 5, Pages 753–766
DOI: https://doi.org/10.1134/S0001434614110145
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. Yu. Popov, “Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients”, Mat. Zametki, 96:5 (2014), 747–761; Math. Notes, 96:5 (2014), 753–766
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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