Convergence and Summability of Multiple Fourier series and generalized variation
Ushangi Goginava, Artur Sahakian
TL;DR
This paper investigates the convergence and Cesàro summability of multiple Fourier series for functions with bounded generalized variation, providing new insights into their behavior and summability properties.
Contribution
It introduces new results on convergence and summability for multiple Fourier series of functions with bounded generalized variation.
Findings
Established conditions for convergence of multiple Fourier series
Proved Cesàro summability results for functions of bounded generalized variation
Extended classical Fourier analysis to functions with generalized variation
Abstract
In this paper we present results on convergence and Ces\`{a}ro summability of Multiple Fourier series of functions of bounded generalized variation.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Harmonic Analysis Research · Differential Equations and Boundary Problems