On the partial sums of Vilenkin-Fourier series |
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Authors: | George Tephnadze |
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Affiliation: | 1. Tbilisi State University, Tbilisi, Georgia 2. Lule? University of Technology, Lule?, Sweden
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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 H p , when 0 < p ≤ 1. |
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