# A class of Bleimann, Butzer and Hahn type operators

## 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.

## PDF

##### Journal

Analele Universitatii din Timisoara, Romania