The Orlicz mean zonoid operator

DOI10.1016/j.jmaa.2014.12.002zbMath1318.52006OpenAlexW2003446048MaRDI QIDQ482762

Lujun Guo, Changmin Du, Gang Song Leng

Publication date: 6 January 2015

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.2014.12.002

zbMATH Keywords

mixed volumesaffine inequalitySteiner symmetrizationOrlicz Brunn-Minkowski theorymean zonoid

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

The dual \(\phi\)-Brunn-Minkowski inequality ⋮ Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms ⋮ Orlicz mixed radial Blaschke-Minkowski homomorphisms ⋮ Dual Orlicz mixed geominimal surface areas ⋮ The multiple radial Blaschke-Minkowski homomorphisms ⋮ Existence of solutions to the Orlicz-Minkowski problem ⋮ Orlicz difference bodies ⋮ The \((q,{\phi})\)-dual Orlicz mixed affine surface areas ⋮ Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms ⋮ Orlicz extensions of Brunn-Minkowski theory

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