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In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence. [ABSTRACT FROM AUTHOR]

In this paper we will prove the Korovkin type theorem for Baskakov-Schurer-Szász operators via the A-statistical convergence and the power summability method. Also we give the rate of the convergence related to the above summability methods and in the last chapter we give a kind of Voronovskaya type theorem for the A-statistical convergence and Grüss-Voronovskaya type theorem. [ABSTRACT FROM AUTHOR]