On 𝑝-Quermassintegral Differences Function

Proceedings Mathematical Sciences

Zhao Changjian²  Wingsum Cheung¹ 

[1] Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong$$;Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 00, People’s Republic of China$$

关键词: Quermassintegral difference function;    convex body;    projection body;    the Brunn–Minkowski inequality.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we establish Minkowski inequality and Brunn–Minkowski inequality for 𝑝-quermassintegral differences of convex bodies. Further, we give Minkowski inequality and Brunn–Minkowski inequality for quermassintegral differences of mixed projection bodies.

【 授权许可】

Unknown