On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Abstract

The convergence of multiple Fourier series of functions of bounded partial -variation is investigated. The sufficient and necessary conditions on the sequence $\Lambda =\{{\lambda }_n\}$ are found for the convergence of multiple Fourier series of functions of bounded partial $\Lambda$-variation.

arXiv admin note: text overlap with arXiv:1210.2079