Acta Mathematica Hungarica

, Volume 115, Issue 1, pp 79–100

On the convergence of generalized Cesàro means of trigonometric Fourier series. II

  • T. Akhobadze
Article

DOI: 10.1007/s10474-007-5215-6

Cite this article as:
Akhobadze, T. Acta Math Hung (2007) 115: 79. doi:10.1007/s10474-007-5215-6

Abstract

The behavior of generalized Cesàro (C, αn)-means (αn ∈ (−1,0)) of trigonometric Fourier series of Hω classes in the space of continuous functions is studied. The sharpness of the results obtained is shown.

Key words and phrases

trigonometric systemFourier seriesCesàro meansHw classes

2000 Mathematics Subject Classification

42A24

Copyright information

© Akadémiai Kiadó, Budapest 2007

Authors and Affiliations

  • T. Akhobadze
    • 1
  1. 1.Institute of MathematicsIV. Javakhishvili Tbilisi State UniversityTbilisiGeorgia