Lp -dual geominimal surface areas for the general Lp-intersection bodies

DOI10.22436/jnsa.010.07.14zbMath1412.52004OpenAlexW2735788221MaRDI QIDQ4631307

Zhonghuan Shen, Wei-Dong Wang, Ya-Nan Li

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.07.14

zbMATH Keywords

Busemann-Petty problemextremum valueBrunn-Minkowski inequalitygeneral \(L_p\)-intersection body\(L_p\)-dual geominimal 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)

Related Items (4)

Isoperimetric and Brunn-Minkowski inequalities for the \((p, q)\)-mixed geominimal surface areas ⋮ Some inequalities on general \(L_p\)-mixed brightness integrals ⋮ On the Negative Solutions of L_p-Busemann-Petty Problem ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies

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