Dual Brunn-Minkowski inequality for C-star bodies
Functional Analysis
2023-12-15 v2
Abstract
In this paper, we consider the concept of -star body in a fixed pointed closed convex cone and study the dual mixed volume for -star bodies. For -star bodies, we establish the corresponding dual Brunn-Minkowski inequality, the dual Minkowski inequality and the dual Aleksandrov-Fenchel inequality. Our dual Brunn-Minkowski inequality for -star bodies strengthens Schneider's Brunn-Minkowski inequality for -coconvex sets.
Keywords
Cite
@article{arxiv.2312.07095,
title = {Dual Brunn-Minkowski inequality for C-star bodies},
author = {Xudong Wang and Tingting Xiang},
journal= {arXiv preprint arXiv:2312.07095},
year = {2023}
}
Comments
Our article has not been revised properly