Approximation Properties of Bivariate Generalization of Bleimann-Butzer and Hahn Operators Based on the Q-Integers
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Abstract
In this presentation, bivariate case of BBH operators based on the q-integers is constructed. Then Korovkin type approximation properties of this generalization are obtained with the help of Volkov's Theorem. Lastly, we obtain rates of convergence of these operators by means of bivariate modulus of continuity and Lipschitz type maximal functions.
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Positive Linear Operators, Bivariate Korovkin Theorem, Bivariate Modulus Of Continuity, Bivariate Lipschitz, Type Maximal Function, Q-Integers
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Ersan, Sibel, "Approximation properties of bivariate generalization of Bleimann-Butzer and Hahn operators based on the q-integers", Applied Mathematics For Science And Engineering, (2007).
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