Pointwise convergence of Marcinkiewicz-Fejer means of double Vilenkin-Fourier series
Ushangi Goginava
TL;DR
This paper characterizes the specific points where Marcinkiewicz-Fejer means of double Vilenkin-Fourier series converge, advancing understanding of their pointwise behavior.
Contribution
It provides a new characterization of convergence points for Marcinkiewicz-Fejer means in the context of double Vilenkin-Fourier series.
Findings
Identifies conditions for pointwise convergence
Provides a complete characterization of convergence points
Enhances understanding of Vilenkin-Fourier series behavior
Abstract
In this paper we give a characterization of points in which Marcinkiewicz-Fejer means of double Vilenkin-Fourier series converges.
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