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 

出　　处：《Wuhan University Journal of Natural Sciences》2010年第4期292-296,共5页武汉大学学报（自然科学英文版）

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

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.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.

关 键 词：convex body reverse form L p-Busemann-Petty centroid inequality L p-centroid-affine inequality isotropic constant 

分 类 号：N[自然科学总论]