Articles

APPROXIMATION BY WALSH-KACZMARZ-FEJÉR MEANS ON THE HARDY SPACE

  • George TEPHNADZE
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  • Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Str. 1, Tbilisi 0128, Georgia; Department of Engineering Sciences and Mathematics, Lulea University of Technology, SE-971 87, Lulea, Sweden

Received date: 2012-12-07

  Revised date: 2014-01-17

  Online published: 2014-09-20

Supported by

The research was supported by Shota Rustaveli National Science Foundation grant no.13/06 (Geometry of function spaces, interpolation and embedding theorems.

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, when 0 < p ≤ 1/2.

Cite this article

George TEPHNADZE . APPROXIMATION BY WALSH-KACZMARZ-FEJÉR MEANS ON THE HARDY SPACE[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1593 -1602 . DOI: 10.1016/S0252-9602(14)60106-5

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