Affine isoperimetric inequalities for \(L_p\)-intersection bodies
type: Item
instance of: scholarly article
title: Affine isoperimetric inequalities for \(L_p\)-intersection bodies
zbMATH Open document ID: 1198.52002
DOI: 10.1216/RMJ-2010-40-2-489
author: Lu Fenghong
author: Mao Weihong
published in: Rocky Mountain Journal of Mathematics
publication date: 2010-06-14T00:00:00Z
review text: An \(L_p\)-analogue of the Busemann intersection inequality and an \(L_p\)-dual analog of the \(L_p\)-Petty projection inequality for the \(L_p\)-intersection body (\(p\leq -1\)) are established. Moreover, the Busemann-Petty problem is studied and inequalities for the volume of an \(L_p\)-intersection body (\(p\leq -1\)) are proved.
reviewed by: Anatoliy Milka
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 5720616
zbMATH Keywords: \(L_p\)-intersection body
zbMATH Keywords: \(L_p\)-centroid body
zbMATH Keywords: \(L_p\)-projection body
zbMATH Keywords: \(L_p\)-Petty projection inequality
zbMATH Keywords: Busemann intersection inequality
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5720616