Lebesgue and Vilenkin-Lebesgue points and a. e. Convergence of Nörlund means with respect to Vilenkin systems of integrable functions

2021/07/01 by Davit Baramidze, Baramidze, Davit, Zura Dvalashvili +3
Mathematics · #42C10 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2107.02898

openalex publication_date 2021/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, we discuss pointwise and norm convergence in L_p norms of such Nörlund means.

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