A note on the fixed points of positive linear operators
type: Item
instance of: scholarly article
title: A note on the fixed points of positive linear operators
zbMATH Open document ID: 1435.41006
author: Ioan Gavrea
author: Mircea Ivan
published in: Journal of Approximation Theory
publication date: 2018-02-20T00:00:00Z
review text: The main result of the paper is the following Theorem: There exists no positive linear analytic operator \(L : C[0,1] \to C[0,1]\) preserving the monomial functions \(x^{i}\) and \(x^{j},\) where \(0 < i < j\) are given integers.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 47B65
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6840977
zbMATH Keywords: Bernstein operators
zbMATH Keywords: positive linear operators
zbMATH Keywords: fixed points
zbMATH Keywords: Korovkin systems
MaRDI profile type: Publication
full work available at URL: j.jat.2017.12.001
OpenAlex ID: W2771340888
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DOI: 10.1016/J.JAT.2017.12.001
description: scientific article; zbMATH DE number 6840977