Shephard type problems for general \(L_{p}\)-centroid bodies

DOI10.1186/s13660-015-0812-3zbMath1338.52006OpenAlexW1915669423WikidataQ59434266 ScholiaQ59434266MaRDI QIDQ262499

Yanni Pei, Wei-Dong Wang

Publication date: 29 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0812-3

zbMATH Keywords

\(L_p\)-dual affine surface areaasymetric \(L_p\) centroid bodygeneral \(L_p\) centroid bodygeneral \(L_p\)-harmonic Blaschke bodyShephard problem

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)

Related Items (11)

\(L_{p}\)-dual geominimal surface area and general \(L_{p}\)-centroid bodies ⋮ Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies ⋮ $q$-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 ⋮ Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ Some inequalities for asymmetric L_p-mean zonoids ⋮ Some inequalities on general \(L_p\)-mixed brightness integrals ⋮ A quermassintegral form of the \(L_p\)-Busemann-Petty centroid inequality ⋮ $L_p$-dual affine surface areas for the general L_p-centroid bodies ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies

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