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

✍ Scribed by Bogdan Szal

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 160 KB
Volume: 284
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200910061

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✦ Synopsis

Abstract

In the present paper we introduce a new class of sequences called GM(β, r), which is a generalization of the class considered by Tikhonov in 13. Moreover, we obtain sufficient and necessary conditions for uniform convergence of sine series with (β, r)‐general monotone coefficients.

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