\(L_p\)-dual affine surface area

DOI10.1016/j.jmaa.2008.08.006zbMath1158.52005OpenAlexW2021603418MaRDI QIDQ950469

Bin-Wu He, Wei Wang

Publication date: 22 October 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.2008.08.006

zbMATH Keywords

Brunn-Minkowski inequalityBlaschke-Santaló inequality\(L_p\)-dual mixed volumeaffine isoperimetric inequality\(L_p\)-dual surface area

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) Affine differential geometry (53A15)

Related Items

Some inequalities for \((p,q)\)-mixed volume ⋮ Dual Orlicz affine surface area ⋮ Isoperimetric and Brunn-Minkowski inequalities for the \((p, q)\)-mixed geominimal surface areas ⋮ Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas ⋮ The \(L_p\)-mixed geominimal surface areas ⋮ \(L_p\)-dual mixed affine surface areas ⋮ Some inequalities for the L p -mixed quermassintegrals ⋮ The \((q,{\phi})\)-dual Orlicz mixed affine surface areas ⋮ Some inequalities for the L_p-curvature images ⋮ $L_p$-dual affine surface areas for the general L_p-centroid bodies ⋮ The \(i\)th \(p\)-geominimal surface area ⋮ The \(i\)th \(p\)-affine surface area ⋮ Shephard type problems for general \(L_{p}\)-centroid bodies

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