Research Article

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

Published in: Quaestiones Mathematicae
Volume 44 , issue 5 , 2021 , pages: 599–613

DOI: 10.2989/16073606.2020.1729270

Author(s): Weidong Wang , China , Xia Zhao , China

Keywords: 52A20 , 52A39 , 52A40 , 52A20 , 52A39 , 52A40

Abstract

The notion of (p, q)-mixed volume was first introduced by Lutwak, Yang and Zhang in 2018. According to this concept, Li, Wang and Zhou defined 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.

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