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Demirci, Kamil,Dirik, Fadime Korean Mathematical Society 2010 대한수학회보 Vol.47 No.4
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.
Kamil Demirci,Fadime Dirik 대한수학회 2010 대한수학회보 Vol.47 No.4
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.