Volume inequalities for Orlicz zonotopes

DOI10.1016/j.jmaa.2012.02.018zbMath1275.52006OpenAlexW2049497880MaRDI QIDQ413233

Guangting Wang, Qingzhong Huang, Gang Song Leng

Publication date: 4 May 2012

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.2012.02.018

zbMATH Keywords

shadow systemMahler conjectureOrlicz zonotopes

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (13)

The dual \(\phi\)-Brunn-Minkowski inequality ⋮ Dual Orlicz mixed geominimal surface areas ⋮ Shadow systems of asymmetric \(L_p\) zonotopes ⋮ The Orlicz Brunn-Minkowski inequality ⋮ An asymmetric Orlicz centroid inequality for probability measures ⋮ Mixed volumes and measures of asymmetry ⋮ The Orlicz mean zonoid operator ⋮ Orlicz difference bodies ⋮ Volume inequalities for asymmetric Orlicz zonotopes ⋮ The \((q,{\phi})\)-dual Orlicz mixed affine surface areas ⋮ Dual mixed Orlicz-Brunn-Minkowski inequality and dual Orlicz mixed quermassintegrals ⋮ Orlicz extensions of Brunn-Minkowski theory ⋮ Volume inequalities for Orlicz mean bodies

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