## Abstract

The purpose of this paper is to study a sequence of linear and positive operators which was proposed by A. Lupas [4]. An asymptotic formula and some quantitative estimates for the rate of convergence are given. By using a probabilistic method,this sequence is reobtained. Also two modified sequences are constructed.

## Authors

**Octavian Agratini**

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

## Keywords

Lupas operator; Bohman-Korovkin theorem; Voronovskaya-type formula; uniform approximation

## Paper coordinates

O. Agratini, *On a sequence of linear and positive operators*, Facta Universitatis, Nis, Series: Mathematics and Informatics, **14** (1999), pp. 41-48.

## About this paper

##### Journal

Facta Universitatis

##### Publisher Name

University of Nis

##### Print ISSN

##### Online ISSN

2406-047X

google scholar link

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