Uniform Convergence Of N-Dimensional Trigonometric Fourier Series

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3 Citations (Scopus)

Abstract

We establish the conditions for the partial moduli of continuity, which guarantee the uniform convergence of N-dimensional trigonometric Fourier series of the functions of the so called generalized partial bounded p-variation.

Original languageEnglish
Pages (from-to)665-676
Number of pages12
JournalGeorgian Mathematical Journal
Volume7
Issue number4
DOIs
Publication statusPublished - 2000
Externally publishedYes

Keywords

  • N-dimensional trigonometric Fourier series
  • Uniform convergence
  • Variation in Hardy's sense

ASJC Scopus subject areas

  • General Mathematics

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