$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality

DOI10.4064/ap221124-29-5zbMath1527.52003MaRDI QIDQ6086098

Hui Xue, Wei-Dong Wang

Publication date: 9 November 2023

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

zbMATH Keywords

quermassintegral\(L_p\)-centroid inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Inequalities of the quermassintegrals for the \(L_p\)-projection body and the \(L_p\)-centroid body
• Centroid surfaces
• General \(L_{p}\) affine isoperimetric inequalities
• Mixed affine surface area
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• A quermassintegral form of the \(L_p\)-Busemann-Petty centroid inequality
• 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
• Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies

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