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 Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, Number 4, Pages 51–55 (Mi vmumm336)

Short notes

Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant

A. Yu. Popov, A. P. Solodov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: € sharp lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant is obtained.

Key words: sine series, asymptotic behavior, monotone sequence.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation ÍØ-3682.2014.1

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English version:
Moscow University Mathematics Bulletin, 2014, 69:4, 169–173

Bibliographic databases:

UDC: 511

Citation: A. Yu. Popov, A. P. Solodov, “Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 51–55; Moscow University Mathematics Bulletin, 69:4 (2014), 169–173

Citation in format AMSBIB
\Bibitem{PopSol14} \by A.~Yu.~Popov, A.~P.~Solodov \paper Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant \jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh. \yr 2014 \issue 4 \pages 51--55 \mathnet{http://mi.mathnet.ru/vmumm336} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3372785} \transl \jour Moscow University Mathematics Bulletin \yr 2014 \vol 69 \issue 4 \pages 169--173 \crossref{https://doi.org/10.3103/S0027132214040056} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926633850} 

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This publication is cited in the following articles:
1. A. P. Solodov, “A sharp lower bound for the sum of a sine series with convex coefficients”, Sb. Math., 207:12 (2016), 1743–1777
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