The Orlicz Brunn-Minkowski inequality for the projection body
type: Item
instance of: scholarly article
title: The Orlicz Brunn-Minkowski inequality for the projection body
zbMATH Open document ID: 1436.52008
author: Du Zou
author: Ge Xiong
published in: The Journal of Geometric Analysis
publication date: 2020-04-07T00:00:00Z
review text: Within the framework of the Orlicz Brunn-Minkowski theory, the authors state and prove a generalized Brunn-Minkowski inequality for the intrinsic volume in the case of the projection body.
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 7187389
zbMATH Keywords: Brunn-Minkowski inequality
zbMATH Keywords: projection body
zbMATH Keywords: intrinsic volume
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: s12220-019-00182-7
OpenAlex ID: W2937222619
cites work: Projection bodies in complex vector spaces
cites work: Log-concavity properties of Minkowski valuations
cites work: $p$-Means of Convex Bodies.
cites work: The Brunn-Minkowski inequality
cites work: Q3409343
cites work: The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
cites work: Convex and Discrete Geometry
cites work: General affine surface areas
cites work: \(\mathrm{SL}(n)\) invariant valuations on polytopes
cites work: Inequalities for Mixed Projection Bodies
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
cites work: Orlicz projection bodies
cites work: Orlicz centroid bodies
cites work: Non-linear angle-sum relations for polyhedral cones and polytopes
cites work: Q5531622
cites work: Convex Bodies The Brunn-MinkowskiTheory
cites work: Volume Inequalities and Additive Maps of Convex Bodies
cites work: Crofton measures and Minkowski valuations
cites work: Q4716272
cites work: The Orlicz Brunn-Minkowski inequality
cites work: Orlicz mixed quermassintegrals
cites work: A unified treatment for \(L_p\) Brunn-Minkowski type inequalities
Wikidata QID: Q128206646
DOI: 10.1007/S12220-019-00182-7
description: scientific article; zbMATH DE number 7187389