A sharp Rogers-Shephard type inequality for Orlicz-difference body of planar convex bodies
type: Item
instance of: scholarly article
title: A sharp Rogers-Shephard type inequality for Orlicz-difference body of planar convex bodies
zbMATH Open document ID: 1328.52004
author: Shufeng Yuan
author: Hai Lin Jin
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2015-03-25T00:00:00Z
review text: The authors discuss natural extensions of classical convexity notions to Orlicz spaces. More precisely, they prove a sharp Orlicz type analogue of the classical Rogers-Shephard inequality on the volume of the difference body, using also the notion of shadow systems of families of convex bodies. Thus, with this work, results of \textit{C. Bianchini} and \textit{A. Colesanti} [Proc. Am. Math. Soc. 136, No. 7, 2575--2582 (2008; Zbl 1143.52008)] are extended.
reviewed by: Horst Martini
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 6419538
zbMATH Keywords: difference body
zbMATH Keywords: Rogers-Shephard type inequality
zbMATH Keywords: shadow systems
zbMATH Keywords: Orlicz space
MaRDI profile type: Publication
full work available at URL: s12044-014-0204-5
OpenAlex ID: W2156519621
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DOI: 10.1007/S12044-014-0204-5
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description: scientific article; zbMATH DE number 6419538