A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval

Abstract

In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [ 0, ¥) ´ [ 0, ¥) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version.