Some Inequalities for the (p, q)-Mixed Geominimal Surface Areas and Lp Radial Blaschke-Minkowski Homomorphisms

Abstract

Wang et al. introduced Lp radial Blaschke-Minkowski homomorphisms based on Schuster's radial Blaschke-Minkowski homomorphisms. In 2018, Feng and He gave the concept of (p, q)-mixed geominimal surface area according to the Lutwak, Yang and Zhang's (p, q)-mixed volume. In this article, associated with the (p, q)-mixed geominimal surface areas and the Lp radial Blaschke-Minkowski homomorphisms, we establish some inequalities including two Brunn-Minkowski type inequalities, a cyclic inequality and two monotonic inequalities.