Вестник Московского Университета. Математика, Механика - Содержание

Properties of Cesàro Means of Double Fourier Series / D'yachenko A.M. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 2. P. 3-11 [Moscow Univ. Math. Bulletin. Vol. 65, No 2, 2010. P. 55-62].

The pointwise behavior of partial sums and Cesàro means of trigonometric series were studied in many papers. This paper deals with the behavior of rectangular Cesàro means at a point (x0,y0) for functions f(x,y) bounded in the square [-π; π]2 and satisfying the condition

|f(x0 + s, y0 + t) - f(x0, y0)| ≤ ρ (√(s2 + t2))α,
for some α ∈ (0,1) and all s and t.

Key words: Chesàro means, Fourier series.