On the Dual Orlicz Mixed Volumes

Citation:

Hailin JIN,Shufeng YUAN,Gangsong LENG.On the Dual Orlicz Mixed Volumes[J].Chinese Annals of Mathematics B,2015,36(6):1019~1026
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Authors:

Hailin JIN; Shufeng YUAN;Gangsong LENG

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.\,11271244, 11271282).
Abstract: In this paper, the authors define a harmonic Orlicz combination and a dual Orlicz mixed volume of star bodies, and then establish the dual Orlicz-Minkowski mixed-volume inequality and the dual Orlicz-Brunn-Minkowksi inequality.

Keywords:

Convex body, Harmonic Orlicz combination, Dual Orlicz mixed volume, Dual Orlicz-Brunn-Minkowski inequality

Classification:

52A20, 52A39
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