INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L_p-PROJECTION BODY AND THE L_p-CENTROID BODY

作     者：王卫东 冷岗松 

作者机构：Department of MathematicsChina Three Gorges University Department of MathematicsHubei Institute for Nationalities Department of MathematicsShanghai University 

基　　金：Sponsored by the Natural Science Foundation of China (10671117) Academic Mainstay Foundation of Hubei Province of China (D200729002) Science Foundation of China Three Gorges University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2010年第30卷第1期

页      码：359-368页

摘      要：Associated with the concepts of the Lp-mixed quermassintegrals, the Lp-mixed volume, and the Lp-dual mixed volume, we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body. Further, the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.

主 题 词：Lp-centroid body Lp-projection body Lp-mixed projection body quer massintegrals shephard problem 

学科分类：07[理学] 0701[理学-数学类] 070101[070101] 

核心收录：

D　O　I：10.1016/S0252-9602(10)60052-5

馆 藏 号：203153482...