Korovkin type approximation via triangular A−statistical convergence on an infinite interval

Abstract

In the present paper, using the triangular A−statistical convergence for double sequences, which is aninteresting convergence method, we prove a Korovkin-type approximation theorem for positive linear operators on thespace of all real-valued continuous functions on [0, ∞) × [0, ∞) with the property that have a finite limit at the infinity.Moreover, we present the rate of convergence via modulus of continuity. Finally, we give some further developments.