3 papers
math.GM2025
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…
math.CA2025
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…
math.AP2025
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