INEQUALITIES FOR COMPLEX CENTROID BODIES
C. LI 1,∗ and W. D. WANG 2
1 Department of Mathematics, China Three Gorges University, Yichang, 443002, China
e-mail: lichao166298@163.com
2 Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, 443002,
China
e-mail: wangwd722@163.com
(Received July 3, 2019; revised September 21, 2019; accepted September 23, 2019)
Abstract. Haberl [12] firstly introduced the notion of complex centroid body. Based on this concept, we establish some related inequalities containing Brunn–Minkowski type inequalities and monotonic inequalities. In addition, we also study its Shephard type problem.