Brunn-Minkowski Inequalities of General L_p-Intersection Bodies

In this paper, we study the extremum inequalities of general L_p-intersection bodies. In addition, associating with the L_q-radial combination and L_q-harmonic Blaschke combination, we establish the Brunn-Minkowski type inequalities of general L_p-intersection bodies for dual quermassintegrals, respectively. As applications, inequalities of volume are derived.