On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Abstract

The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial $\Lambda$-variation is investigated. The sufficient and neccessary conditions on the sequence $\Lambda =\{{\lambda }_n\}$ are found for the convergence of Cesàro means of Fourier series of functions of bounded partial $\Lambda$-variation.

arXiv admin note: text overlap with arXiv:1210.4433