Korovkin type theorem for Bernstein–Kantorovich operators via power summability method

Abstract

In this paper we will prove the Korovkin type theorem for Bernstein–Kantorovich type operators via $$A-$$ statistical convergence and power summability method. Also we give the rate of the convergence related to the above summability methods and in the last sections we give a kind of Voronovskaya type theorem for $$A-$$ statistical convergence and Gruss–Voronovskaya type theorem.