A note on the strong convergence of partial sums with respect to Vilenkin system
G.Tutberidze
TL;DR
This paper investigates strong convergence theorems for partial sums in the context of Vilenkin systems, contributing to the understanding of their convergence properties in harmonic analysis.
Contribution
It provides new strong convergence results for partial sums with respect to Vilenkin systems, expanding theoretical knowledge in harmonic analysis.
Findings
Established strong convergence theorems for Vilenkin partial sums
Extended understanding of convergence behavior in harmonic analysis
Provided conditions under which convergence holds
Abstract
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Harmonic Analysis Research · Mathematical Approximation and Integration