Convergence and Summability of Multiple Fourier series and generalized variation

zbMATH Open1326.42016arXiv1404.6192MaRDI QIDQ3194811

Ushangi Goginava, A. A. Sahakyan

Publication date: 20 October 2015

Abstract: In this paper we present results on convergence and Ces`{a}ro summability of Multiple Fourier series of functions of bounded generalized variation.

Full work available at URL: https://arxiv.org/abs/1404.6192

zbMATH Keywords

Cesàro summabilitymultiple Fourier seriesbounded generalized variationgeneralized Wiener's classWaterman's class

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (4)

Title not available (Why is that?) ⋮ Metric Fourier approximation of set-valued functions of bounded variation ⋮ Title not available (Why is that?) ⋮ Some generalizations of contraction theorems for Fourier series

This page was built for publication: Convergence and Summability of Multiple Fourier series and generalized variation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3194811)