### Statistical αβ−Summability and Korovkin Type Approximation Theorem

#### Abstract

In this study, we define $[N^{\gamma},

\alpha\beta]_{q}-$summability and statistical

$(N^{\gamma},\alpha\beta)$ summability. We also establish some

inclusion relation and some related results for this new

summability methods. Further we apply Korovkin type approximation

theorem through statistical $(N^{\gamma},\alpha\beta)$ summability

and we apply the classical Bernstein operator to construct an

example in support of our result. Furthermore, we present a rate of

convergence which is uniform in Korovkin type theorem by statistical

$(N^{\gamma},\alpha\beta)$ summability.

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