Statistical approximation properties of q-Bleimann, Butzer and Hahn operators
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Date
2009
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Pergamon-elsevier Science Ltd
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Abstract
The main aim of this study is to introduce a new generalization of q-Bleimann, Butzer and Hahn operators and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established. Our results show that rates of convergence of our operators are at least as fast as classical BBH operators. The second aim of this study is to construct a bivariate generalization of the operator and also obtain the statistical approximation properties. (C) 2008 Elsevier Ltd. All rights reserved.
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Linear Positive Operators, Statistical Convergence, Q-Bleimann, Butzer And Hahn Operators, Rate Of Statistical Convergence, Modulus Of Continuity, Lipschitz Type Maximal Functions
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Ersan, S., Doğru, O. (2009). Statistical approximation properties of q-Bleimann, Butzer and Hahn operators. Mathematical And Computer Modelling, 49(7-8), 1595-1606. http://dx.doi.org/10.1016/j.mcm.2008.10.008
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Volume
49
Issue
7-8
Start Page
1595
End Page
1606