L_p-mixed intersection bodies

In this paper, we prove a dual Bergstrom type inequality for q -dual mixed volumes. Furthermore, we introduce the Lp -mixed intersection bodies for any real number p = 0 , and establish some interesting inequalities for Lp -mixed intersection bodies involving a Minkowski type inequality and three Brunn-Minkowski type inequalities. Mathematics subject classification (2010): 52A38, 52A40.