On the \(L_p\) affine isoperimetric inequalities

DOI10.1007/s12044-011-0041-8zbMath1266.52013OpenAlexW1980657604MaRDI QIDQ1930305

Wuyang Yu, Gang Song Leng

Publication date: 10 January 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0041-8

zbMATH Keywords

isotropic measure\(L_p\)-Petty projection inequality\(p\)-isoperimetric inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (1)

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Cites Work

• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Restricted chord projection and affine inequalities
• Equivalence of some affine isoperimetric inequalities
• A new ellipsoid associated with convex bodies
• The Cramer-Rao inequality for star bodies
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Hyperplane conjecture for quotient spaces of L p
• Isotropic surface area measures
• $L_p$ John Ellipsoids
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