A. Yu. Popov, A. P. Solodov, “Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, Number 4,Pages <nobr>26

Mathematics

Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment

A. Yu. Popov^ab, A. P. Solodov^ab

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: The lower estimate of the sum of a sine series with a convex sequence of coefficients obtained by S. A. Telyakovskiĭ is extended to a much longer segment.

Key words: sine series with monotone coefficients, sine series with convex coefficients.

UDC: 517.518.4

Received: 30.08.2023

DOI: 10.55959/MSU0579-9368-1-65-4-4