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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