On a sequence of linear and positive operators

2 years ago

(original), Approximation Theory, Linear and positive approximation operators, not-at-ICTP, paper

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.

PDF

https://ictp.acad.ro/wp-content/uploads/2023/03/1999c-Agratini-On-a-sequence-of-linear-and-positive-operators-Facta-Universitatis.pdf

http://facta.junis.ni.ac.rs/mai/mai14/f14-05.pdf

About this paper

Journal

Facta Universitatis

Publisher Name

University of Nis

DOI

http://facta.junis.ni.ac.rs/mai/mai14/f14-05.pdf

Print ISSN

0352-9665

Online ISSN

2406-047X

google scholar link

1999