4 papers
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…
Some problems of convergence of general Fourier series
V. Tsagareishvili, G. Tutberidze
S. Banach \cite{Banach} proved that good differential properties of function do not guarantee the a.e. convergence of the Fourier series of this function with respect to general or…
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…