Some Brunn-Minkowski Type Inequalities for the ( p , q )-Mixed Volumes

ZHANG Juan 1 , WANG Weidong 1,2†

1. Department of Mathematics, China Three Gorges University,

Yichang 443000, Hubei, China;

2. Three Gorges Mathematical Research Center, China Three

Gorges University, Yichang 443000, Hubei, China

© Wuhan University 2020

Abstract: Lutwak, Yang and Zhang defined the (p, q)-mixed volumes very recently. In this paper, some Brunn-Minkowski type inequalities on the (p, q)-mixed volumes are established based on the general L p -projection bodies and the general L p -centroid bodies.

Key words: general L p -projection body; general L p -centroid body; (p,q)-mixed volume; Brunn-Minkowski type inequality