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arxiv: 1410.7977 · v1 · pith:64KLNU5Dnew · submitted 2014-10-05 · 🧮 math.CA · math.FA

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

classification 🧮 math.CA math.FA
keywords hardymeanswalsh-kaczmarz-fejapproximationconditionscontinuityconvergencefind
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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 $H_{p},$ when $0<p\leq 1/2.$

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