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Approximation by walsh-kaczmarz-fejér means on the hardy space |
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| Authors: | George TEPHNADZE |
| Institution: | 1. Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Str. 1, Tbilisi 0128, Georgia;2. Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87, Luleå, Sweden |
| Abstract: | The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejér means in the terms of the modulus of continuity on the Hardy spaces Hp, when 0<p≤ 1/2. |
| Keywords: | Walsh-Kaczmarz system Fejé r means martingale Hardy space modulus of continuity |
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