Journal of the
Korean Mathematical Society JKMS

The mixed chord-integrals are defined. The Fenchel-Aleksandrov inequality and a general isoperimetric inequality for the mixed chord-integrals are established. Furthermore, the dual general Bieberbach inequality is presented. As an application of the dual form, a Brunn-Minkowski type inequality for mixed intersection bodies is given.

Keywords: mixed intersection bodies, mixed chord-integrals, Fenchel-Aleksandrov inequality, Bieberbach inequality

MSC numbers: 52A40