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. 72, N 2, 2017. P. 0].

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.

№ 4/2014