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Open AccessMathematics

On the partial sums of Vilenkin-Fourier series

George Tephnadze

2014.2.25Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences

DOI: 10.3103/s1068362314010038

Abstract

The aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. Also, the obtained results we use to prove approximation and strong convergence theorems on the martingale Hardy spaces Hp, when 0 < p ≤ 1.

Citation format

TEPHNADZE, George. On the partial sums of vilenkin-fourier series [preprint]. arXiv, 2014. arXiv:1410.7635.