Abstract:
The work is devoted to the refinement of the asymptotics of the sum of a series in sines with convex, slowly varying coefficients, obtained by S. Alancic, R. Boyanic and M. Tomich [1] and enhanced by S.A. Telyakovsky [2] and A. Yu. Popov [3].
Keywords:sine series with monotone coefficients, slowly varying function.
