Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods

Permanent link
https://hdl.handle.net/10037/28093
DOI
https://doi.org/10.1007/s00009-022-02156-6
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Date
2022-09-17
Type
Journal article
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Peer reviewed

Author
Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc
Abstract
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.
Publisher
Springer
Citation
Nadirashvili, Persson, Tephnadze, Weisz. Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods. Mediterranean Journal of Mathematics. 2022;19(5)
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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)