A geometric proof of some inequalities involving mixed volumes (Q1580064)
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scientific article; zbMATH DE number 1505607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric proof of some inequalities involving mixed volumes |
scientific article; zbMATH DE number 1505607 |
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A geometric proof of some inequalities involving mixed volumes (English)
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13 September 2000
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Using spherical harmonics, \textit{R. Schneider} [Mathematika 36, No. 1, 50-59 (1989; Zbl 0671.52008)] and \textit{P. R. Goodey} and \textit{H. Groemer} [Proc. Am. Math. Soc. 109, No. 4, 1103-1114 (1990; Zbl 0699.52001)] proved stability versions of special cases of the Alexandrov-Fenchel inequalities. Here a proof is given which uses the Blaschke-Santaló inequality and a variational argument instead of spherical harmonics.
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stability
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Alexandrov-Fenchel inequalities
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Blaschke-Santaló inequality
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