On the uniform convergence of single and double sine series

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Several classical and recent theorems in Fourier analysis apply assumptions determined by certain monotonicity of the coefficients. Lately numerous theorems use in their assumptions the so-called bounded variation concept, which utilizes two specific properties of the decreasing null-sequences. In this note we study results of this type dealing with the uniform convergence of single and double sine series. We compare some known results and prove two new theorems, too.

Original languageEnglish
Pages (from-to)232-242
Number of pages11
JournalActa Mathematica Hungarica
Volume140
Issue number3
DOIs
Publication statusPublished - Aug 1 2013

Keywords

  • bounded variation
  • classes of coefficients
  • regular convergence
  • sine series
  • uniform convergence

ASJC Scopus subject areas

  • Mathematics(all)

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