A refined Brunn-Minkowski inequality for convex sets (Q1044401)
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scientific article; zbMATH DE number 5649884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A refined Brunn-Minkowski inequality for convex sets |
scientific article; zbMATH DE number 5649884 |
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A refined Brunn-Minkowski inequality for convex sets (English)
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18 December 2009
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In the paper under review, the authors improve the Brunn-Minkowski inequality on convex bodies in terms of relative asymmetry and relative size of two given bodies. The main technical tool is a Poincaré-type trace inequality on convex sets that is proved in sharp form.
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Brunn-Minkowski inequality
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sharp estimates
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stability results
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relative asymmetry
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relative size
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