On asymmetry of some convex bodies
type: Item
instance of: scholarly article
title: On asymmetry of some convex bodies
zbMATH Open document ID: 1010.52003
author: Qi Guo
author: Sten Kaijser
published in: Discrete \& Computational Geometry
publication date: 2002-05-30T00:00:00Z
review text: The authors establish that the Minkowski measure of asymmetry of the convex hull of the union of a centrally symmetric convex body \(B\subset E^n\) centered at the origin and a point \(x\not\in B\) is equal to \(2\|x\|/(\|x\|+ 1)\). Here, \(\|\cdot\|\) means the norm of the Banach space whose unit ball is \(B\).
reviewed by: Marek Lassak
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 1747940
zbMATH Keywords: Minkowski measure of asymmetry
zbMATH Keywords: convex hull
MaRDI profile type: Publication
full work available at URL: s00454-001-0059-2
OpenAlex ID: W1979441128
DOI: 10.1007/S00454-001-0059-2
description: scientific article; zbMATH DE number 1747940