Affiliation:
1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People’s Republic of China
Abstract
In this paper, applying for the Minkowski?s and H?lder?s integral
inequalities, we obtain four theorems about the (p, q)-mixed volume
involving the Lp centroid bodies and the Lp intersection bodies,
respectively. The former two theorems reveal the convexity of the
functionals related to the (p, q)-mixed volume, in terms of the dual
Blaschke addition introduced in [Journal of Geometric Analysis, 30 (2020)
3026-3034], and the latter two theorems expose the monotonicity of the other
functionals related to the (p, q)-mixed volume.
Publisher
National Library of Serbia