Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-09-17)
The concept of Vilenkin–Lebesgue points was introduced in
[12], where the almost everywhere convergence of Fejer means of
Vilenkin–Fourier series was proved. In this paper, we present a different
(and simpler) approach to prove a similar result, which can be used to
prove that the corresponding result holds also in a more general context,
namely for regular Norlund and T-means.