Abstract. In this paper we provide various approximation results concerning the classical Korovkin theorem via A -statistical convergence. We also study the rates of A -statistical convergence of approximating positive linear operators and give some examples.
In this work, giving a modification of the well-known Szasz-Mirakjan operators, we prove that the error estimation of our operators is better than that of the classical Szasz-Mirakjan operators. Furthermore, we obtain a Voronovskaya type theorem for these modified operators.
Abstract. Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence {T n (f ; x)} of positive linear operators acting from a weighted space C 1 into a weighted space B 2 .
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