Abstract
In this paper we introduce a Bleimann, Butzer and Hahn type operator \(L_{n}^{a}\) where \(a\) is a real and positive parameter. In the classical operators have the nodes \(x_{k}=\frac{k}{n-k+1}\) now we take \(x_{k}^{a} =\frac{k+a}{n-k+1}\), \(k=0,1,…,n\). It is shown that \(\left( L_{n}^{a}f\right) \left( x\right)\) tends pointwise on \([0,\infty)\) to \(f\left( x\right)\) for \(n\rightarrow\infty\). Moreover, estimations for the rate of convergence of \(\left( L_{n}^{a}f\right) \left( x\right) -f\left(x\right)\) are established.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
linear and positive operators; Bohman Korokvin’s theorem; rate of convergence; K-functional.
Paper coordinates
O. Agratini, A class of Bleimann, Butzer and Hahn tupe operators, Analele Universitatii din Timisoara, 34, 1996, no.2, 173-180.
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Analele Universitatii din Timisoara, Romania
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