On the uniform convergence of weighted trigonometric series
Tom 92 / 2011
Banach Center Publications 92 (2011), 339-350 MSC: 40A30, 42A10. DOI: 10.4064/bc92-0-23
In the present paper we consider a new class of sequences called $ GM( \beta ,r) $, which is the generalization of a class defined by Tikhonov in . We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with $( \beta ,r)$-general monotone coefficients.