Statistical summability "Equation missing" and a Korovkin type approximation theorem

The concept of statistical summability ( C , 1 ) has recently been introduced by Móricz [Jour. Math. Anal. Appl. 275 , 277-287 (2002)]. In this paper, we use this notion of summability to prove the Korovkin type approximation theorem by using the test functions 1, e − x , e − 2 x . We also give here the rate of statistical summability ( C , 1 ) and apply the classical Baskakov operator to construct an example in support of our main result. MSC: 41A10, 41A25, 41A36, 40A30, 40G15.