in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.
In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.
In this paper, we first introduce a new concept of dual quermassintegral sum function of two star bodies and establish Minkowski's type inequality for dual quermassintegral sum of mixed intersection bodies, which is a general form of the Minkowski inequality for mixed intersectio
In this paper, applying for the Minkowski?s and H?lder?s integral inequalities, we obtain four theorems about (p, q)-mixed volume involving Lp centroid bodies intersection bodies, respectively. The former two reveal convexity of functionals related to volume, in terms dual Blasch
A sharp affine isoperimetric inequality is established which gives a sharp lower bound for the volume of the polar body. It is shown that equality occurs in the inequality if and only if the body is a simplex. Throughout this paper a convex body K in Euclidean n-space Rn is a com