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Mathematics  2015 

Some approximation results by Bernstein-Kantorovich operators based on (p,q)-integers

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Abstract:

In this paper, a new analogue of Bernstein-Kantorovich operators has been introduced and we call it as (p,q)-Bernstein-Kantorovich operators. Approximation properties based on Korovkin's type approximation theorem and some direct theorems for (p,q)-Bernstein-Kantorovich operators has been studied. Furthermore, comparisons and some illustrative graphics for the convergence of operators to a function are presented.

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