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Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators

✍ Scribed by Qing-Bo Cai; Xiao-Ming Zeng

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 159 KB
Volume: 35
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1520

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✦ Synopsis

In this paper, we introduce a Durrmeyer‐type generalization of q‐Bleimann, Butzer, and Hahn operators based on q‐integers and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. We also compute rates of statistical convergence of these q‐type operators by means of the modulus of continuity and Lipschitz‐type maximal function, respectively. Copyright © 2011 John Wiley & Sons, Ltd.

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