Exact lower estimate for the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant / A. Yu. Popov, A. P. Solodov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. ? 4. P. 51-55 [Moscow Univ. Math. Bulletin. Vol. 69, N 4, 2014.].

А 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.