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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

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

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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

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.

UDC: 511

Received: 18.06.2013


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

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