L_p-mixed intersection bodies

作     者：ZHAO ChangJian Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China 

作者机构：Department of Information and Mathematics Sciences College of Science China Jiliang University Hangzhou China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第12期

页      面：2172-2188页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. Y605065) the Foundation of the Education Department of Zhejiang Province of China (Grant No. 20050392) 

主　　题：L p -dual mixed volumes L p -intersection bodies L p -mixed intersection bodies 52A40 

摘      要：In this paper the author first introduce a new concept of Lp-dual mixed volumes of star bodies which extends the classical dual mixed volumes. Moreover, we extend the notions of Lp- intersection body to Lp-mixed intersection body. Inequalities for Lp-dual mixed volumes of Lp-mixed intersection bodies are established and the results established here provide new estimates for these type of inequalities.