Inequalities for two simplices
type: Item
instance of: scholarly article
title: Inequalities for two simplices
zbMATH Open document ID: 0964.51019
author: Zhu Shen
author: Lihua Tang
author: Gangsong Leng
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-10-30T00:00:00Z
review text: The authors establish inequalities involving two \(n\)-dimensional simplices which combine edge-lengths and altitudes of one simplex with distances from an interior point \(P\) to the facets of the second simplex. For the cases of equalities the first simplices turn out to be regular ones, and for the second simplices either \(P\) coincides with the incenter, or the incenter coincides with the centroid. As consequences, further inequalities for one simplex are obtained, again yielding characterizations of the regular case.
reviewed by: Horst Martini
Mathematics Subject Classification ID: 51M16
zbMATH DE Number: 1523547
zbMATH Keywords: regular simplex
zbMATH Keywords: incenter
zbMATH Keywords: Neuberg-Pedoe inequality
zbMATH Keywords: centroid
zbMATH Keywords: circumcenter
MaRDI profile type: Publication
OpenAlex ID: W1984330686
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DOI: 10.1006/JMAA.2000.6918
description: scientific article; zbMATH DE number 1523547