Cesàro means of trigonometric fourier series

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2 Citations (Scopus)

Abstract

L. Zhizhiashvili proved that if f ∈ Hωpp for some p, 1 ≤ p ≤ ∞, and ∝ ∈ (0; 1); then the Lp-deviation of f from its Cesàro mean is O(formula omited) where ω(‧) is a modulus of continuity. In this paper we show that this estimation is non-amplifiable for p = 1:.

Original languageEnglish
Pages (from-to)53-56
Number of pages4
JournalGeorgian Mathematical Journal
Volume9
Issue number1
DOIs
Publication statusPublished - 2002
Externally publishedYes

Keywords

  • Cesàro means
  • Trigonometric Fourier series

ASJC Scopus subject areas

  • General Mathematics

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