8 citations · 12 across the 16 of their papers we have counts for
17 papers
Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces
L. -E. Persson, V. Tsagareishvili, G. Tutberidze +1
In this paper we state, prove, and discuss some new boundedness results concerning sequences of linear functionals of functions from the Lipschitz class \(Lip_1\) and general ortho…
Maximal operators of means with respect to the Vilenkin system
G. Tutberidze
In this paper we prove and discuss some new type inequalities of maximal operators of means with respect to Vilenkin systems with monotone coe…
The properties of general Fourier partial sums of functions
Giorgi Tutberidze, Vakhtang Tsagareishvili, Giorgi Cagareishvili
In this paper, we investigate the convergence properties of Fourier partial sums associated with general orthonormal systems, focusing on functions that belong to specific differen…
The Properties of Cesáro General Fourier Sums of Functions with Derivatives of Lipschitz Class Functions
G. Tutberidze, V. Tsagareishvili, G. Cagareishvil
In this paper, we investigate the Cesáro means of Fourier series with respect to general orthonormal systems (ONS), when the function \( f \) belongs to a certain differentiable cl…
The properties of general Fourier partial sums of functions
G. Cagareishvili, V. Tsagareishvili, G. Tutberidze
In this paper, we investigated the Fourier partial sums with respect to general orthonormal systems when the function belongs to some differentiable class of functions
Unconditional convergence of general Fourier series
Vakhtang Tsagareishvili, Giorgi Tutberidze, Giorgi Cagareishvili
S. Banach, in particular, proved that for any function, even where the convergence of its Fourier series with respect to the general orthonormal systems (O…
Properties of sequence of linear functionals on with applications
L-E. Persson, V. Tsagareishvili, G. Tutberidze
This paper is devoted to investigating the sequence of some linear functionals in the space of finite variation functions. We prove that under certain conditions this sequence…
Almost everywhere and norm convergence of Approximate Identity and Fejér means of trigonometric and Vilenkin systems
N. Nadirashvili, G. Tephnadze, G. Tutberidze
In this paper, we investigate very general approximation kernels with special properties, called an approximate identity, and prove almost everywhere and norm convergence of these…
Bounded operators on Martingale Hardy spaces
Giorgi Tutberidze
The aim of my thesis is to discuss, develop and apply the newest developments of this fascinating theory connected to modern harmonic analysis. In particular, we investigate some s…
Absolute convergence factors of Lipshitz class functions for general Fourier series
V. Tsagareishvili, G. Tutberidze
The main aim of this paper is to investigate the sequences of positive numbers, for which multiplication with Fourier coefficients of functions Lip1 class provides absolute…
Lebesgue and Vilenkin-Lebesgue points and a. e. Convergence of Nörlund means with respect to Vilenkin systems of integrable functions
Davit Baramidze, Zura Dvalashvili, Giorgi Tutberidze
In this paper we derive converge of Nörlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover,…
Sharp type inequalities of maximal operators of means with respect to Vilenkin systems with monotone coefficients
G. Tutberidze
In this paper we prove and discuss some new type inequalities of maximal operators of means with respect to the Vilenkin systems with monotone coeff…
Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means
D. Lukkassen, L. E. Persson, G. Tephnadze +1
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin-Fourier (Walsh-Fourier) series. The corresponding inequality is…
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
L-E. Persson, G. Tephnadze, G. Tutberidze
In this paper we characterize subsequences of Fejér means with respect to Vilenkin systems, which are bounded from the Hardy space to the Lebesgue space for all $0…
Some new resuts on strong convergence of Fejér means with respect to Vilenkin systems
L-E. Persson, G. Tephnadze, G. Tutberidze
In this paper we discuss and prove some new strong convergence theorems for partial sums and Fejér means with respect to the Vilenkin system.
A note on The maximal operators of the Nörlund logaritmic means of Vilenkin-Fourier series
George Tephnadze, Giorgi Tutberidze
The main aim of this paper is to investigate - type inequalities for the the maximal operators of Nörlund logaritmic means, for
On the strong convergence of partial sums with respect to bounded Vilenkin systems
Giorgi Tutberidze
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.