On L-convergence of trigonometric series

2009/08/31 by Bogdan Szal, Szal, Bogdan
Mathematics · #42A20 #42A32 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42A20 #msc:42A32

paper · pdf · doi:10.48550/arxiv.0908.4578

arxiv created 2009/08/31 · arxiv updated 2009/12/01

Abstract

In the present paper we consider the trigonometric series with (b,r)-general monotone and (b,r)-rest bounded variation coefficients. Necessary and sufficien conditions of L-convergence for such series are obtained in terms of the coefficients.

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