1410.6102Oct 5, 2014Vilenkin system, Fourier coefficients, partial sums, martingale Hardy space

A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series

George Tephnadze

Classical Analysis and ODEs Functional Analysis

Abstract

The main aim of this paper is to investigate Paley type and Hardy-Littlewood type inequalities and strong convergence theorem of partial sums of Vilenkin-Fourier series.

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A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series

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