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

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

2009-05-08

arxiv.org/abs/0905.1294v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In 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.

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