Cesàro means of trigonometric fourier series

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2002
Externally publishedYes


  • Cesàro means
  • Trigonometric Fourier series

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Cesàro means of trigonometric fourier series'. Together they form a unique fingerprint.

Cite this