Dual type quermassintegral inequalities for polar \(L_p\)-centroid bodies

DOI10.1216/rmj.2023.53.1635MaRDI QIDQ6144518

Wei-Dong Wang

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-5/DUAL-TYPE-QUERMASSINTEGRAL-INEQUALITIES-FOR-POLAR-Lp-CENTROID-BODIES/10.1216/rmj.2023.53.1635.full

zbMATH Keywords

dual quermassintegralSteiner symmetrizationdual affine quermassintegraldual harmonic quermassintegralpolar \(L_p\)-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)

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.
• Inequalities for Hadwiger's harmonic quermassintegrals
• A quermassintegral form of the \(L_p\)-Busemann-Petty centroid inequality
• The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and 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
• INEQUALITIES FOR DUAL HARMONIC QUERMASSINTEGRALS

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