ISOPERIMETRIC INEQUALITIES FOR Lp GEOMINIMAL SURFACE AREA

DOI10.1017/S0017089511000292zbMath1235.52019MaRDI QIDQ3094654

BaoCheng Zhu, Ni Li, Jia-zu Zhou

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(L_p\)-geominimal surface areaBlaschke-Santaló type inequality\(L_p\)-affine type isoperimetric inequalities

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

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\(L_{p}\)-dual geominimal surface area and general \(L_{p}\)-centroid bodies ⋮ The optimal problems for torsional rigidity ⋮ Isoperimetric and Brunn-Minkowski inequalities for the \((p, q)\)-mixed geominimal surface areas ⋮ \((p,q)\)-mixed geominimal surface area and \((p,q)\)-mixed affine surface area ⋮ Functional geominimal surface area and its related affine isoperimetric inequality ⋮ L_p dual mixed geominimal surface areas for multiple star bodies ⋮ \(L_p\) mixed geominimal surface area ⋮ Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ Inequalities on asymmetric Lp-harmonic radial bodies ⋮ The mixed L_p affine surface areas for functions ⋮ L_p-DUAL MIXED GEOMINIMAL SURFACE AREA ⋮ Lp-dual mixed geominimal surface area ⋮ Unnamed Item ⋮ Dual Orlicz geominimal surface area ⋮ The general dual Orlicz geominimal surface area ⋮ Dual Orlicz mixed geominimal surface area ⋮ The (p, q)-mixed geominimal surface areas ⋮ \(L_{p}\) harmonic radial combinations of star bodies ⋮ New Orlicz affine isoperimetric inequalities ⋮ The \(L_p\)-dual mixed geominimal surface area for multiple star bodies

Cites Work

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