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.