Further improvement of the Klamkin inequality
type: Item
instance of: scholarly article
zbMATH Open document ID: 1003.51013
author: Hanfang Zhang
publication date: 2002-05-01T00:00:00Z
Mathematics Subject Classification ID: 51M16
zbMATH DE Number: 1723812
zbMATH Keywords: simplex
zbMATH Keywords: Klamkin inequality
MaRDI profile type: Publication
title: Further improvement of the Klamkin inequality
published in: Chinese Quarterly Journal of Mathematics
review text: Let \({\mathcal A}\) be a simplex in the \(n\)-dimensional Euclidean space \(E^n\). Then the Klamkin inequality says that \(R^2\geq n^2r^2+ |OI |^2\) where \(R\) is the circumradius, \(r\) the inradius, \(O\) the circumcentre and \(I\) the incentre of \({\mathcal A}\); equality holds if and only if \({\mathcal A}\) is regular.NEWLINENEWLINENEWLINEIn this paper, the author sharpens and extends this inequality.
reviewed by: T. Thrivikraman
description: scientific article; zbMATH DE number 1723812