A new class of numerical sequences and its applications to uniform convergence of sine series

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229781In the present paper we introduce a new class of sequences called GM(b,r), which is the generalization of a class considered by Tikhonov. Moreover, we obtained in this note sufficient and necessary conditions for uniform convergence of sine series with (b,r)-general monotone coefficients.Classical Analysis and ODEs40A30; 42A10A new class of numerical sequences and its applications to uniform convergence of sine seriestext