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In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C 1 into a weighted space B 2 with the use of the power series method which includes both Abel and Borel methods. We also consider the rates of convergence of these operators.

Korovkin type approximation theorems in weighted spaces via power series method