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  • 1 TBILISI STATE UNIVERSITY DEPARTMENT OF MECHANICS AND MATHEMATICS CHAVCHAVADZE STR. 1 380028 TBILISI GEORGIA CHAVCHAVADZE STR. 1 380028 TBILISI GEORGIA
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Abstract  

We investigate approximation properties of Cesàro (C; −α, −β)-means of double Walsh-Fourier series with α, β ∈ (0, 1). As an application, we obtain a sufficient condition for the convergence of the means σ n,m/−α,−β (f; x, y) to f(x,y) in the Lp-metric, p ∈ [1, ∞]. We also show that this sufficient condition cannot be improved.