The Shephard type problems and monotonicity for \(L_{p}\)-mixed centroid body

DOI10.1007/s13226-014-0062-yzbMath1317.52014OpenAlexW2049557507MaRDI QIDQ2018711

Yibin Feng, Wei-Dong Wang

Publication date: 25 March 2015

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-014-0062-y

zbMATH Keywords

monotonicityShephard type problems\(L_{p}\)-mixed centroid body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Busemann-Petty problems for quasi \(L_p\) intersection bodies, General \(L_{p}\)-harmonic Blaschke bodies, Busemann-Petty problems for L_p mixed intersection bodies, $L_p$-dual affine surface areas for the general L_p-centroid bodies

Cites Work

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• Blaschke-Santaló inequalities
• The Cramer-Rao inequality for star bodies
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• Dual mixed volumes
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• Fourier transform and Firey projections of convex bodies
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