On \(L_p\)-Brunn-Minkowski type inequalities of convex bodies (Q1012422)
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scientific article; zbMATH DE number 5545405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(L_p\)-Brunn-Minkowski type inequalities of convex bodies |
scientific article; zbMATH DE number 5545405 |
Statements
On \(L_p\)-Brunn-Minkowski type inequalities of convex bodies (English)
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21 April 2009
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This paper collects Brunn-Minkowski type inequalities for \(L_p\)-projection bodies, \(L_p\)-centroid bodies, \(L_p\)-curvature images and \(L_p\)-polar projection bodies. Most of the results involve \(L_p\)-Blaschke addition, based on Lutwak's solution of the even \(L_p\)-Minkowski problem, and are, therefore, restricted to centrally symmetric bodies. The short proofs use Minkowski type inequalities due to Lutwak.
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\(L_p\)-Brunn-Minkowski theory
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\(L_p\)-projection body
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\(L_p\)-centroid body
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\(L_p\)-curvature image
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\(L_p\)-polar projection body
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