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Affine inequalities for \(L_{p}\)-mixed mean zonoids - MaRDI portal

Affine inequalities for \(L_{p}\)-mixed mean zonoids (Q314966)

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scientific article; zbMATH DE number 6628325
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Affine inequalities for \(L_{p}\)-mixed mean zonoids
scientific article; zbMATH DE number 6628325

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    Affine inequalities for \(L_{p}\)-mixed mean zonoids (English)
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    19 September 2016
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    The authors introduce \(L_{p}\)-mixed mean zonoid of convex bodies \(K\) and \(L\), and they prove some important properties for the \(L_{p}\)-mixed mean zonoid, such as monotonicity and \(GL(n)\) covariance. The paper also includes new affine isoperimetric inequalities for the \(L_{p}\)-mixed mean zonoids.
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    \(L_{p}\)-zonoid
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    \(L_{p}\)-mixed mean zonoid
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    Steiner symmetrization
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    affine inequality
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