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arxiv: 1503.05394 · v1 · pith:KNKNYQHSnew · submitted 2015-02-14 · 🧮 math.CA · math.AP

A note on the norm convergence by Vilenkin-Fej\'er means

classification 🧮 math.CA math.AP
keywords convergencemeansconditionscontinuityfindhardymainmodulus
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The main aim of this paper is to find necessary and sufficient conditions for the convergence of Fej\'er means in terms of the modulus of continuity on the Hardy spaces $H_{p},$ when $0<p\leq 1/2.$

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