An Extremal Property of p-mean Width

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 , s -pseudo-moment body of the given body in R n . The equalities in these inequalities are all characterized by parallelotopes.