English

Approximation by Walsh-Kaczmarz-Fej\'er means on the Hardy space

Classical Analysis and ODEs 2014-10-30 v1 Functional Analysis

Abstract

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fej\'er means in the terms of the modulus of continuity on the Hardy spaces Hp,H_{p}, when 0<p1/2.0<p\leq 1/2.

Keywords

Cite

@article{arxiv.1410.7977,
  title  = {Approximation by Walsh-Kaczmarz-Fej\'er means on the Hardy space},
  author = {George Tephnadze},
  journal= {arXiv preprint arXiv:1410.7977},
  year   = {2014}
}

Comments

(to appear), Acta Mathematica Scientia, (2014). arXiv admin note: substantial text overlap with arXiv:1410.6721, arXiv:1410.7976