On Star Duality of Mixed Intersection Bodies

Abstract

A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established. A geometric inequality is derived between the volumes of star duality of star bodies and their associated mixed intersection integral.

Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

“…for every ∈ − u S n 1 . With the emergence of this notion, a number of characterizations and inequalities were established about star bodies, see [20][21][22][23][24][25][26].…”