Comments on the absolute convergence of Fourier series

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Abstract

We give sufficient conditions for the convergence of the series having the following form [formula] where ak and bk are Fourier coefficients, [formula] is an increasing concave function, and (nk) is a certain increasing sequence of natural numbers.

Original languageEnglish
Pages (from-to)221-230
Number of pages10
JournalHokkaido Mathematical Journal
Volume30
Issue number1
DOIs
Publication statusPublished - Jan 1 2001

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Keywords

  • Absolute convergence
  • Best approximation
  • Lacunary series
  • Modulus of continuity

ASJC Scopus subject areas

  • Mathematics(all)

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