\(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms (Q1953066)
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scientific article; zbMATH DE number 6171523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms |
scientific article; zbMATH DE number 6171523 |
Statements
\(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms (English)
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7 June 2013
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In the paper under review, some Brunn-Minkowski type inequalities for (radial) Blaschke-Minkowski homomorphisms with respect to (radial) \(L_p\) Minkowski addition are established (Theorems 1.1 and 1.2). Moreover, the author proves the dual Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms with respect to radial \(L_p\) Minkowski addition (Theorem 1.3).
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convex body
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\(L_p\) Minkowski addition
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radial \(L_p\) Minkowski addition
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Blaschke-Minkowski homomorphism
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radial Blaschke-Minkowski homomorphism
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spherical convolution
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