2 papers
math.CA2022
On the almost everywhere and norm convergences of Nörlund means with respect to Vilenkin systems
Zura Dvalashvili, Nato Nadirashvili
Unlike the classical theory of Fourier series which deals with decomposition of a function into sinusoidal waves the Vilenkin (Walsh) functions are rectangular waves. The developme…
math.CA2021
Lebesgue and Vilenkin-Lebesgue points and a. e. Convergence of Nörlund means with respect to Vilenkin systems of integrable functions
Davit Baramidze, Zura Dvalashvili, Giorgi Tutberidze
In this paper we derive converge of Nörlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover,…