Some inequalities for the (p; q)-mixed affine surface areas

Abstract

The notion of (p; q)-mixed volume was rst introduced by Lutwak, Yang and Zhang in 2018. According to this concept, Li, Wang and Zhou dened the (p; q)- mixed affine surface areas in 2019. In this paper, we establish some inequalities including cyclic inequality, monotonous inequality and product inequality for the (p; q)-mixed affine surface areas.

Key words: (p; q)-mixed volume, (p; q)-mixed affine surface area, cyclic inequality, mo- notonous inequality, product inequality.