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Quaestiones Mathematicae

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Some properties of Baskakov-Schurer-Szasz operators via power summability methods

Naim L. Braha

Abstract


In this paper we will prove the Korovkin type theorem for BaskakovSchurer-Sz´asz 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 Gr¨uss-Voronovskaya type theorem.

Key words: A-statistical convergence, Baskakov-Schurer-Sz´asz operators, power summability method, Korovkin type theorem, Voronovskaya type theorem, rate of convergence, Gr¨uss-Voronovskaya.




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