INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L_p-PROJECTION BODY AND THE L_p-CENTROID BODY

摘要

Associated with the concepts of the Lp-mixed quermassintegrals,the Lp-mixed volume,and the Lp-dual mixed volume,we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body.Further,the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.