Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 4, Pages 51–55 (Mi vmumm336)  
This article is cited in 1 scientific paper (total in 1 paper)

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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
Full-text PDF (332 kB) Citations (1)
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Abstract: Ђ 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 НШ-3682.2014.1
Received: 18.06.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 4, Pages 169–173
DOI: https://doi.org/10.3103/S0027132214040056
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
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
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\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://mathscinet.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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926633850}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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