Quasi \(L_p\)-intersection bodies

DOI10.1007/s10114-007-0958-0zbMath1143.52007OpenAlexW1015595378MaRDI QIDQ2477789

Wuyang Yu, Dong-Hua Wu, Gang Song Leng

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0958-0

zbMATH Keywords

Brunn-Minkowski inequalityAleksandrov-Fenchel inequalityBusemann intersection inequalityquasi \(L_p\) -intersection bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items (13)

Busemann-Petty problems for quasi \(L_p\) intersection bodies ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Intersection bodies and generalized cosine transforms ⋮ On the \(L_p\) intersection body ⋮ Inequalities for dual quermassintegrals of the radial \(p\)th mean bodies ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ Busemann-Petty problems for L_p mixed intersection bodies ⋮ $L_p$-dual affine surface areas for the general L_p-centroid bodies ⋮ On the Negative Solutions of L_p-Busemann-Petty Problem ⋮ \(L_{p}\)-dual affine surface area forms of Busemann-Petty type problems ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies ⋮ Busemann-Petty problems for general \(L_p\)-intersection bodies ⋮ General \(L_{p}\)-dual Blaschke bodies and the applications

Cites Work

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• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Centroid surfaces
• Intersection bodies and dual mixed volumes
• The Radon transform.
• Blaschke-Santaló inequalities
• A new ellipsoid associated with convex bodies
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• Inequalities for Hadwiger's harmonic quermassintegrals
• The Cramer-Rao inequality for star bodies
• Dual mixed volumes
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Volume in terms of concurrent cross-sections
• Inequalities for Mixed Projection Bodies
• Problems on convex bodies
• Centroid Bodies and Dual Mixed Volumes
• Shadows of Convex Bodies

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