Affine inequalities for L p $L_{p}$ -mixed mean zonoids

Affine inequalities for L p $L_{p}$ -mixed mean zonoids

Abstract In this paper, we introduce the L p $L_{p}$ -mixed mean zonoid of convex bodies K and L, and we prove some important properties for the L p $L_{p}$ -mixed mean zonoid, such as monotonicity, GL ( n ) $\operatorname{GL}(n)$ covariance, and so on. We also establish new affine isoperimetric ine...

Full description

Bibliographic Details
Main Authors: Tongyi Ma, Yuanyuan Guo, Yibin Feng
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
L p $L_{p}$ -zonoid
L p $L_{p}$ -mixed mean zonoid
Steiner symmetrization
affine inequality
Online Access:http://link.springer.com/article/10.1186/s13660-016-1167-0

Internet

http://link.springer.com/article/10.1186/s13660-016-1167-0

Similar Items