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

In this paper we derive converge of N\"orlund 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 N\"orlund means.

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Baramidze, Davit, Zura Dvalashvili, Giorgi Tutberidze
Format: Article
Language:English
Subjects:
Convergence
Fourier series
Mathematical functions
Norms
Online Access:Get full text
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Summary:In this paper we derive converge of N\"orlund 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 N\"orlund means.
ISSN:2331-8422