Weakened continuity in Λ-variation and localization of double Cesaro means / A. N. Bakhvalov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 4. P. 8-14 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
We study the localization of Cesaro means of negative order with respect to cross neighborhoods for a double Fourier series. We prove a sufficient condition in terms of Λ-variation of the function which is weaker than the sufficient condition for classic localization obtained recently.
Key words: generalized variation, Cesaro means.