A quermassintegral form of the \(L_p\)-Busemann-Petty centroid inequality

DOI10.1007/s12220-021-00848-1zbMath1487.52017OpenAlexW4220727178MaRDI QIDQ2075356

Wei-Dong Wang

Publication date: 14 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00848-1

zbMATH Keywords

quermassintegralSteiner symmetrization\(L_p\)-centroid body\(L_p\)-Busemann-Petty centroid

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 (3)

$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality ⋮ Dual type quermassintegral inequalities for polar \(L_p\)-centroid bodies ⋮ Sylvester-Busemann type functionals with respect to Orlicz centroid bodies

Cites Work

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• Shephard type problems for general \(L_{p}\)-centroid bodies
• Inequalities of the quermassintegrals for the \(L_p\)-projection body and the \(L_p\)-centroid body
• Centroid surfaces
• General \(L_{p}\) affine isoperimetric inequalities
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• Volume extremals of general L_p-centroid bodies
• A type of monotonicity on the L_p centroid body and L_p projection body
• On the reverse L ^p –busemann–petty centroid inequality
• Some inequalities on general L_p-centroid bodies
• Convex Bodies The Brunn-MinkowskiTheory
• Minkowski valuations

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