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APPROXIMATION BY WALSH-KACZMARZ-FEJR MEANS ON THE HARDY SPACE 被引量：1

APPROXIMATION BY WALSH-KACZMARZ-FEJR MEANS ON THE HARDY SPACE
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摘要 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. 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.
作者 George TEPHNADZE
机构地区 Department of Mathematics Department of Engineering Sciences and Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1593-1602,共10页 数学物理学报（B辑英文版）
基金 supported by Shota Rustaveli National Science Foundation grant no.13/06(Geometry of function spaces,interpolation and embedding theorems)
关键词 Walsh-Kaczmarz system Fej6r means martingale Hardy space modulus ofcontinuity Walsh-Kaczmarz system Fej6r means martingale Hardy space modulus ofcontinuity
分类号 O177 [理学—基础数学]
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  • 3Fridli S, Manchuda P, Siddiqi A. Approximation by Walsh-N¨orlund means. Acta Sci Math (Szeged), 2008, 74(3/4): 593–608.
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Acta Mathematica Scientia
2014年 第5期

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