A new extension of monotone sequences and its applications

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17 Citations (Scopus)

Abstract

We define a new class of numerical sequences. This class is wider than any one of the classical or recently defined new classes of sequences of monotone type. Because of this generality we can generalize only the sufficient part of the classical Chaundy-Jolliffe theorem on the uniform convergence of sine series. We also present two further theorems having conditions of sufficient type.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume7
Issue number1
Publication statusPublished - May 15 2006

Keywords

  • Monotone sequences
  • Sequence of γ group bounded variation
  • Sine series

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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