35 citations · 137 across the 36 of their papers we have counts for
15 papers · 1 filter
A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
L. E. Persson, G. Tephnadze
In this paper we derive the maximal subspace of positive numbers, for which the restricted maximal operator of Fejér means in this subspace is bounded from the Hardy space …
Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space
George Tephnadze
The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejér means in the terms of the modulus of continuity on the Hardy s…
On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series
George Tephnadze
The main aim of this paper is to investigate and type inequalities for maximal operators of Riesz logarithmic mean…
Strong convergence theorems of Walsh-Fejér means
George Tephnadze
As main result we prove that Fejér means of Walsh-Fourier series are uniformly bounded operators from to $\left( 0<p\leq 1/2\right) .
On the partial sums of Vilenkin-Fourier series
George Tephnadze
The main aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. We also use our results to prove approximation and strong conver…
Strong convergence of two-dimensional Walsh-Fourier series
George Tephnadze
We prove that certain mean of the quadratical partial sums of the two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space to the space $L_…
On The maximal operators of Vilenkin-Fejér means on Hardy spaces
George Tephnadze
The main aim of this paper is to prove that when the maximal operator $\overset{\sim }{σ}_{p}^{\ast }f:=\underset{n\in \mathbb{N}}{% \sup }\frac{\left\vert σ_{n}f\right\v…
A note on the Vilenkin-Fourier coefficients
George Tephnadze
The main aim of this paper is to find the estimation for Vilenkin-Fourier coefficients.
On the maximal operators of Walsh-Kaczmarz-Fejér means
George Tephnadze
The main aim of this paper is to prove that the maximal operator is bounded f…
On The maximal operators of Vilenkin-Fejér means
George Tephnadze
The main aim of this paper is to prove that the maximal operator $\overset{% \sim }{σ}^{*}f:=\underset{n\in P}{\sup }\frac{\left| σ_{n}f\right| }{\log ^{2}\left( n+1\right) }$ is b…
Fejér means of Vilenkin-Fourier series
George Tephnadze
TThe main aim of this paper is to prove that there exist a martingale such that Fejér means of Vilenkin-Fourier series of the martingale is not uniformly bounded…
A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series
George Tephnadze
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.
The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series
George Tephnadze
The main aim of this paper is to investigate (H_{p},L_{p})-type inequalities for maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series.
On the maximal operators of Walsh-Kaczmarz-Nörlund means
George Tephnadze
The main aim of this paper is to investigate type inequalities for maximal operators of Nörlund means with monotone coefficients of one-dimensi…
On the convergence of Fejér means of Walsh-Fourier series in the space
George Tephnadze
The main aim of this paper is to find the necessary and sufficient conditions for a modulus of continuity of a martingale for which Fejér means convergence in …