2 papers
math.CA2022
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…
math.CA2022
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…