\(L_p\) intersection bodies

DOI10.1016/j.jmaa.2007.06.014zbMath1136.52006OpenAlexW1643169333MaRDI QIDQ5920458

Jun Yuan

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.06.014

zbMATH Keywords

star bodyradial additionvolume inequality\(L_p\) intersection body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (15)

Busemann-Petty problems for quasi \(L_p\) intersection bodies ⋮ Stability related to the Lp$L_p$ Busemann–Petty problem ⋮ Radial Blaschke--Minkowski homomorphisms and volume differences ⋮ Starshaped sets ⋮ Inequalities for dual quermassintegrals of the radial \(p\)th mean bodies ⋮ The Shephard type problems and monotonicity for \(L_{p}\)-mixed centroid body ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ Busemann-Petty problems for L_p mixed intersection bodies ⋮ The logarithmic intersection body ⋮ Dual Orlicz mixed geominimal surface area ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies ⋮ Busemann-Petty problems for general \(L_p\)-intersection bodies ⋮ \(L_p\) intersection bodies ⋮ Volume sums of polar Blaschke-Minkowski homomorphisms ⋮ General \(L_{p}\)-dual Blaschke bodies and the applications

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