On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications

作     者：WANG Weidong1,2 1. Department of Mathematics, China Three Gorges University, Yichang 443002, Hubei, China 2. Department of Mathematics, Hubei University for Nationalities, Enshi 445000, Hubei, China 

作者机构：Department of Mathematics China Three Gorges University Yichang Hubei China Department of Mathematics Hubei University for Nationalities Enshi Hubei China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2010年第15卷第4期

页      面：292-296页

学科分类：07[理学] 08[工学] 

基　　金：Supported by the National Natural Science Foundation of China (10671117) Academic Mainstay Foundation of Hubei Provincial De-partment of Education (D200729002) Science Foundation of China Three Gorges University 

主　　题：convex body reverse form L p-Busemann-Petty centroid inequality L p-centroid-affine inequality isotropic constant 

摘      要：In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.