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arXiv · 0905.1294

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

Bogdan Szal
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Abstract

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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Bogdan Szal. 2009-05-08. A new class of numerical sequences and its applications to uniform convergence of sine series. https://arxiv.org/abs/0905.1294

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