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.