On the series of Haar-Fourier coefficients

Research output: Contribution to journalArticle

Abstract

Sufficient conditions are given for the convergence of the series ∑n=1 λ(n)φ(|Cn|), where Cn are the Haar-Fourier coefficients of an integrable function, φ(x) (x ≥ 0, φ(0) = 0) is an increasing and concave function, and λ(x) (x ≥ 1) denotes a function satisfying certain easily achievable conditions.

Original languageEnglish
Pages (from-to)263-269
Number of pages7
JournalMathematical Inequalities and Applications
Volume5
Issue number2
Publication statusPublished - Apr 2002

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Fourier coefficients
Series
Concave function
Increasing Functions
Denote
Sufficient Conditions

Keywords

  • Absolute convergence
  • Convave function
  • Haar-system
  • Power-monotone sequences

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the series of Haar-Fourier coefficients. / Leindler, L.

In: Mathematical Inequalities and Applications, Vol. 5, No. 2, 04.2002, p. 263-269.

Research output: Contribution to journalArticle

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