Cesàro means of double Walsh-Fourier series

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5 Citations (Scopus)

Abstract

We investigate approximation properties of Cesàro (C; -α, -β)-means of double Walsh-Fourier series with α, β ∈ (0, 1). As an application, we obtain a sufficient condition for the convergence of the means σn,m/-α,-β (f; x, y) to f(x,y) in the Lp-metric, p ∈ [1, ∞]. We also show that this sufficient condition cannot be improved.

Original languageEnglish
Pages (from-to)289-304
Number of pages16
JournalAnalysis Mathematica
Volume30
Issue number4
DOIs
Publication statusPublished - Dec 2004
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • General Mathematics

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