Asymmetric $L_p$-difference bodies

DOI10.1090/S0002-9939-2014-11919-8zbMath1295.52008OpenAlexW1969396255MaRDI QIDQ5418560

Tong Yi Ma, Wei-Dong Wang

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-11919-8

zbMATH Keywords

extremumasymmetric \(L_p\)-difference bodyFirey \(L_p\)-combination

Mathematics Subject Classification ID

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

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\(L_{p}\)-dual geominimal surface area and general \(L_{p}\)-centroid bodies, Extremum of geometric functionals involving general \(L_{p}\)-projection bodies, A type of Busemann-Petty problems for general Lp-intersection bodies, Lp -dual geominimal surface areas for the general Lp-intersection bodies, Inequalities on asymmetric Lp-harmonic radial bodies, General Lp-mixed width-integral of convex bodies and related inequalities, Orlicz difference bodies, \((p, q)\)-John ellipsoids, General \(L_{p}\)-mixed chord integrals of star bodies, Some inequalities for asymmetric L_p-mean zonoids, Some inequalities on general \(L_p\)-mixed brightness integrals, Cyclic Brunn-Minkowski inequalities for general width and chord-integrals, Lp-dual affine surface areas for the general Lp-intersection bodies, General \(L_{p}\)-mixed-brightness integrals, General \(L_{p}\)-dual Blaschke bodies and the applications, Shephard type problems for general \(L_{p}\)-centroid bodies

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