Strong convergence theorem for Vilenkin-Fej\'er means
I. Blahota, G. Tephnadze
TL;DR
This paper establishes strong convergence theorems for Vilenkin-Fejér means in the case where the parameter p is between 0 and 1/2, advancing understanding of their convergence properties.
Contribution
It provides new strong convergence results for Vilenkin-Fejér means specifically for the range 0<p≤1/2, which was not previously well-understood.
Findings
Proved strong convergence theorems for Vilenkin-Fejér means when 0<p≤1/2
Extended the known convergence results to a new parameter range
Contributed to the theory of Fourier analysis on Vilenkin groups
Abstract
As main result we prove strong convergence theorems of Vilenkin-Fej\'er means when
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Nonlinear Partial Differential Equations