Title: Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes
Authors: A. Yu. Popov
Journal title: Mathematical Notes
A. Yu. Popov, “Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes”, Mathematical Notes, 2003, 74:6, 829–840
In this paper, we obtain two-sided estimates with sharp constants of the sums of sine series with a convex sequence of coefficients tending to zero.
MathNet (ENG): http://mi.mathnet.ru/eng/mz314