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...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.展开更多
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
文摘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.
基金supported by the Key Natural Science Research Programs of the Higher Education Institutes of Guangdong Province(No.05Z026)Natural Science Foundation of Guangdong Province(No. 7004344)