4 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…
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 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…