Open Access

Bleimann, Butzer, and Hahn Operators Based on the -Integers

Journal of Inequalities and Applications20082007:079410

DOI: 10.1155/2007/79410

Received: 29 May 2007

Accepted: 9 October 2007

Published: 17 January 2008


We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes -integers. We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-type maximal function space. Finally, we define a generalization of these new operators and study the uniform convergence of them.


Authors’ Affiliations

Department of Mathematics, Kirikkale University
Department of Mathematics, Faculty of Sciences and Arts, Gazi University


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© A. Aral and O. Doğru 2007

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