Weighted statistical convergence and its application to Korovkin type approximation theorem

摘要

The concept of weighted statistical convergence was introduced and studied by Karakaya and Chishti (2009) [7]. In this paper, we modify the definition of weighted statistical convergence and find its relationship with the concept of statistical summability (N¯,pn) due to Moricz and Orhan (2004) [10]. We apply this new summability method to prove a Korovkin type approximation theorem by using the test functions 1,e-x,e-2x. We apply the classical Baskakov operator to construct an example in support of our result.