Bernstein form is inclusion monotone
type: Item
instance of: scholarly article
title: Bernstein form is inclusion monotone
zbMATH Open document ID: 0832.65010
DOI: 10.1007/BF02238236
author: Hoon Hong
author: Volker Stahl
published in: Computing
publication date: 1996-03-05T00:00:00Z
review text: This paper is concerned with the problem of finding overestimates for the range of polynomials over intervals. The authors consider the well-known Bernstein representation of the polynomials. A very important quality of the range computation algorithm using the Bernstein form -- inclusion monotonicity is proved.
reviewed by: Valery V. Kobkov
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 784450
zbMATH Keywords: range of polynomials
zbMATH Keywords: Bernstein representation
zbMATH Keywords: range computation algorithm
zbMATH Keywords: inclusion monotonicity
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02238236
OpenAlex ID: W1563265275
description: scientific article; zbMATH DE number 784450