Abstract
The concepts of lambda-equi-statistical convergence, lambda-statistical pointwise convergence and lambda-statistical uniform convergence for sequences of functions were introduced recently by Srivastava, Mursaleen and Khan [Math. Comput. Modelling, 55 (2012) 2040-2051]. In this paper, we apply the notion of lambda-equi-statistical convergence to prove a Korovkin type approximation theorem by using test functions 1, (x/1+x, (x/1+x)(2) and apply our result for the Bleimann, Butzer and Hahn [4] operators. We also study the rate of A-equi-statistical convergence of a sequence of positive linear operators.