# Rate of convergence of a class of Bézier type operators for functions of bounded variation

## Abstract

By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the present paper is to estimate the rate of pointwise convergence of this class for functions of bounded variation\ defined on an interval $$J$$. Two cases are analyzed: $$Int\left( J\right)=\left( 0,\infty\right)$$ and $$Int\left( J\right)=\left( 0,1\right)$$. In a particular case, our operators turn into the Kantorovich-Bezier operators. Also some examples are delivered.

## Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

Approximation process; bounded variation; rate of convergence; Bezier type operators.

## Paper coordinates

O. Agratini, Rate of convergence of a class of Bézier type operators for functions of bounded variation, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II, 76 (2005), pp. 177-195.

## PDF

##### Journal

Supplemento ai Rendicontin del Circolo Matematico di Palermo

##### Publisher Name

Circ. Mat. Palermo

##### Print ISSN
 1592-9531
##### Online ISSN

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