On the partial sums of Vilenkin-Fourier series

By George Tephnadze. 2014

52 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/92c91046a0e963ddb244e1992060659089717130