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Quaestiones Mathematicae

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Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms

Chang-Jian Zhao

Abstract


In this paper, we extend the Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms to an Orlicz setting and an Orlicz-Brunn- Minkowski inequality for radial Blaschke-Minkowski homomorphisms is established. The new Orlicz-Brun-Minkowski inequality in special case yields the Lp-Brunn- Minkowski inequality for the radial mixed Blaschke-Minkowski homomorphisms and the mixed intersection bodies, respectively.

Mathematics Subject Classication (2010): 52A20, 52A40.

Key words: Orlicz radial addition, intersection body, radial Blaschke-Minkowski homo-
morphisms, Orlicz dual mixed volume, Orlicz dual Brunn-Minkowski inequality.




http://dx.doi.org/10.2989/16073606.2017.1417336
AJOL African Journals Online