Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space

preprint2014arXivOpen access

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,H_{p}, when 0<p≤1/2.0<p\leq 1/2.

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