A note on the norm convergence by Vilenkin-Fejér means

Abstract

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Fejér means in terms of the modulus of continuity on the Hardy spaces $H_p,$ when $0<p\le 1/2.$

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References in corpus (1)

• Fejér means of Vilenkin-Fourier series

Cited by in corpus (2)

• On the convergence of Fejér means of Walsh-Fourier series in the space $H_p$
• A note on Vilenkin-Fejér means on the Martingale Hardy spaces $H_p$