Dual \(L_{p}\) affine isoperimetric inequalities

DOI10.1155/JIA/2006/84825zbMath1132.52016MaRDI QIDQ2471869

Yu Wuyang, Bin Xiong, Si Lin

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128566

zbMATH Keywords

polarBrunn-Minkowski-type inequality\(p\)-centroid bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

On isoperimetric inequalities in Minkowski spaces

Cites Work

• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Blaschke-Santaló inequalities
• A new ellipsoid associated with convex bodies
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• $L_p$ John Ellipsoids
• $p$-Means of Convex Bodies.
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