# On modified Beta operators

## Abstract

In the present paper, we deal with an integral operator of beta-type $$L_{m,y}$$ depending on a positive real parameter $$y$$. We give an estimation of the order of approximating by using the first order modulus of continuity. Also, we prove an asymptotic formula of Voronovskaja type and we show that the operator preserves the Lipschitz constants.

## Authors

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

## Keywords

beta-type operators; Lipschitz condition; modulus of continuity.

## Paper coordinates

O. Agratini, On modified Beta operators, Studia Universitatis Babes-Bolyai Mathematica, 42 (1997) no. 1, pp. 5-9.

## PDF

##### Journal

Studia Universitatis Babes-Bolyai Mathematica

Studia

0252-1938

2065-961X
0252-1938