Statistical summability (C,1) 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−2x. 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.

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