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On the reverse Orlicz Busemann–Petty centroid inequality

✍ Scribed by Fangwei Chen; Jiazu Zhou; Congli Yang

Book ID
113411304
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
150 KB
Volume
47
Category
Article
ISSN
0196-8858

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The Lp-Busemann–Petty Centroid Inequalit
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✍ S. Campi; P. Gronchi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 137 KB

The ratio between the volume of the p-centroid body of a convex body K in R n and the volume of K attains its minimum value if and only if K is an origin symmetric ellipsoid. This result, the L p -Busemann-Petty centroid inequality, was recently proved by Lutwak, Yang, and Zhang. In this paper we sh