2 papers
math.FA2023
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…
math.CA2022
Almost everywhere and norm convergence of Approximate Identity and Fejér means of trigonometric and Vilenkin systems
N. Nadirashvili, G. Tephnadze, G. Tutberidze
In this paper, we investigate very general approximation kernels with special properties, called an approximate identity, and prove almost everywhere and norm convergence of these…