@article{Wang2024, 
author = {Xudong Wang and Tingting Xiang},
title = {Dual Brunn-Minkowski inequality for    C-star bodies},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {7834-7847},
keywords = {C-star bodies, Lutwak sum, dual mixed volume, dual Brunn-Minkowski inequality},
url = {https://www.sciopen.com/article/10.3934/math.2024381},
doi = {10.3934/math.2024381},
abstract = {In this paper, we introduced the concept of    C-star bodies in a fixed pointed closed convex cone    C and studied the dual mixed volume for    C-star bodies. For    C-star bodies, we established the corresponding dual Brunn-Minkowski inequality, dual Minkowski inequality, and dual Aleksandrov-Fenchel inequality. Moveover, we found that the dual Brunn-Minkowski inequality for    C-star bodies can strengthen the Brunn-Minkowski inequality for    C-coconvex sets.}
}