17 citations · 23 across the 16 of their papers we have counts for
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Strong convergence theorem of Cesàro means with respect to the Walsh system
István Blahota, George Tephnadze, Rodolfo Toledo
We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space for
Some new type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
L. E. Persson, G. Tephnadze, P. Wall
In this paper we prove and discuss some new type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients. We also ap…
On the -means with respect to the Walsh system
I. Blahota, G. Tephnadze
As main result we prove strong convergence theorems for Cesáro means on the Hardy spaces % , where
Maximal operators of Vilenkin-Nörlund means
L. E. Persson, G. Tephnadze, P. Wall
In this paper we prove and discuss some new type inequalities of maximal operators of Vilenkin-Nörlund means with monotone coefficients. We also ap…
A note on the norm convergence by Vilenkin-Fejér means
George Tephnadze
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 when…