Extremum properties of dual \(L_{p}\)-centroid body and \(L_{p}\)-John ellipsoid (Q2890341)
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scientific article; zbMATH DE number 6044472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremum properties of dual \(L_{p}\)-centroid body and \(L_{p}\)-John ellipsoid |
scientific article; zbMATH DE number 6044472 |
Statements
8 June 2012
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John ellipsoid
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\(L_p\)-John ellipsoid
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dual \(L_p\)-centroid body
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simplex
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ellipsoid of Lutwak, Yanij, Zhang
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Extremum properties of dual \(L_{p}\)-centroid body and \(L_{p}\)-John ellipsoid (English)
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For a convex body \(K\) in \(\mathbb{R}^n\) the ellipsoids of Legendre and John together with Brunn-Minkowski theory and \(L_p\)-curvature theory give rise to several bodies associated with \(K\). Here some inclusions are shown between a parallelotope, a simplex, and such associated bodies.
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