On L1-convergence of sine series

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Abstract

Our aim is to find the source why the logarithm sequences play the crucial role in the L1-convergence of sine series. We define three new classes of sequences; one of them has the character of the logarithm sequences, the other two are the extensions of the class defined by Zhou and named Logarithm Rest Bounded Variation Sequences. In terms of these classes, extended analogues of Zhou's theorems are proved.

Original languageEnglish
Pages (from-to)123-133
Number of pages11
JournalAnalysis Mathematica
Volume38
Issue number2
DOIs
Publication statusPublished - Jun 2012

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ASJC Scopus subject areas

  • Mathematics(all)

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