Inequalities of the quermassintegrals for the \(L_p\)-projection body and the \(L_p\)-centroid body

DOI10.1016/S0252-9602(10)60052-5zbMath1224.52019OpenAlexW2074137895MaRDI QIDQ622531

Gang Song Leng, Wei-Dong Wang

Publication date: 5 February 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60052-5

zbMATH Keywords

quermassintegralsShephard problem\(L_p\)-mixed projection body\(L_p\)-centroid body\(L_p\)-projection 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 (4)

$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality ⋮ Dual type quermassintegral inequalities for polar \(L_p\)-centroid bodies ⋮ Inequalities for complex centroid bodies ⋮ A quermassintegral form of the \(L_p\)-Busemann-Petty centroid inequality

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