Lp-Dual Affine Surface Areas for the General Lp-Intersection Bodies

Abstract

For 0 < p < 1, the notions of symmetric and asymmetric Lp-
intersection bodies were introduced by Haberl and Ludwig. Recently, Wang and Li defined the general Lp-intersection bodies. In this paper, associated with the Lp-dual affine surface areas, we give the extremum values of the general
Lp-intersection bodies. Moreover, the Lp-dual affine surface area forms of the Brunn-Minkowski type inequality and a monotone inequality are established.