The Brunn-Minkowski-Firey inequality for nonconvex sets (Q408126)
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scientific article; zbMATH DE number 6019334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Brunn-Minkowski-Firey inequality for nonconvex sets |
scientific article; zbMATH DE number 6019334 |
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The Brunn-Minkowski-Firey inequality for nonconvex sets (English)
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29 March 2012
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In this short note, the authors first extend the definition of Minkowski-Firey \(L_p\)-combinations from convex bodies to arbitrary subsets of Euclidean space, and then prove the Brunn-Minkowski-Firey inequality for compact (not necessarily convex) sets of \(\mathbb{R}^n\).
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Brunn-Minkowski inequality
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Brunn-Minkowski-Firey inequality
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Minkowski combinations
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Minkowski-Firey \(L_p\)-combinations
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