An Extremal Property of p-mean Width

摘要

Several isoperimetric type inequalities for p-mean width of convex bodies in R-n are established. These inequalities show the interrelations among the p-mean width of a convex body in R-n, an isotropic measure on unit sphere, and the newly-introduced L-r,L-s-pseudo-moment body of the given body in R-n. The equalities in these inequalities are all characterized by parallelotopes.