A class of inequalities about Bernstein polynomial and their applications
type: Item
instance of: scholarly article
title: A class of inequalities about Bernstein polynomial and their applications
zbMATH Open document ID: 1117.65029
author: Chongyang Deng
author: Xunnian Yang
published in: Applied Mathematics. Series B (English Edition)
publication date: 2006-12-05T00:00:00Z
review text: The authors establish a class of new inequalities about the Bernstein polynomial. Using these inequalities, the bound estimation of Bézier curves and rational Bézier curves is improved. Under some conditions, the authors get better results than some previous concerning to derivative bounds. Also a better estimation of the heights of Bézier curves and rational Bézier curves is provided.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 26D05
zbMATH DE Number: 5077211
zbMATH Keywords: Bezier curves
zbMATH Keywords: inequalities
zbMATH Keywords: rational Bézier curves
zbMATH Keywords: derivative bounds
reviewed by: Sonia Pérez Díaz
MaRDI profile type: Publication
full work available at URL: s11766-003-0012-7
OpenAlex ID: W2039718878
cites work: Derivatives of rational Bézier curves
cites work: Hodographs and normals of rational curves and surfaces
cites work: The termination criterion for subdivision of the rational Bézier curves
cites work: Q4823827
DOI: 10.1007/S11766-003-0012-7
description: scientific article; zbMATH DE number 5077211