5 papers
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 c…
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…
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