【摘要】 将凸体的l范数推广到Lp空间,引入lp范数并证明在Lwner椭球(包含凸体的最小椭球)是球的所有凸体中,八面体具有最大的lp范数.同时还给出了lp范数的Blaschke-Sanatlaó型不等式.更多还原

【Abstract】 The article extends the l norm of the convex body to the L_p space.We introduce the l_p norm and proof that if convex body’s Lwner ellipsoid(the minimal volume ellipsoid containing the convex) is the Euclidean unit ball,and the octahedron has the maximal l_p norm.We also give the Blaschke-Sanatlaó type inequality of l_p norm.更多还原