Power-monotone sequences and fourier series with positive coefficients

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

J. Németh has extended several basic theorems of R. P. Boas Jr. pertaining to Fourier series with positive coefficients from Lipschitz classes to generalized Lipschitz classes. The goal of the present work is to find the common root of known results of this type and to establish two theorems that are generalizations of Németh's results. Our results can be considered as sample examples showing the utility of the notion of power-monotone sequences in a new research field.

Original languageEnglish
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume1
Issue number1
Publication statusPublished - Dec 1 1999

Keywords

  • Cosine and sine series
  • Fourier coefficients
  • Fourier series
  • Lipschitz classes
  • Modulus of continuity
  • Quasi power-monotone sequences

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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