Generalized weighted statistical convergence and application

The object of this paper is to introduce the concepts of weighted @l-statistical convergence and statistical summability (N@?"@l,p). We also establish some inclusion relations and some related results for these new summability methods. Further, we determine a Korovkin type approximation theorem through statistical summability (N@?"@l,p) and we show that our approximation theorem is stronger than classical Korovkin theorem by using classical Bernstein polynomials.

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