On Cesàro Means of Double Trigonometric Fourier series

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Zhizhiashvili studied questions associated with the approximation properties of Cesàro means of trigonometric Fourier series for functions of two variables in the spaces Hω. It is proved here that the corresponding estimate cannot be improved for p = 1 or p = ∞.

Original languageEnglish
Pages (from-to)477-482
Number of pages6
JournalMathematical Notes
Issue number3-4
Publication statusPublished - Sept 2003
Externally publishedYes


  • 2π-periodic function of two variables
  • Cesàro mean
  • Modulus of continuity
  • Trigonometric Fourier series

ASJC Scopus subject areas

  • General Mathematics


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