Some inequalities for (p,q) $(p,q)$-mixed volume

Abstract

Abstract Lutwak, Yang, and Zhang introduced the concept of (p,q) $(p,q)$-mixed volume whose special cases contain the Lp $L_{p}$-mixed volume and the Lp $L_{p}$-dual mixed volume. In this article, associated with the (p,q) $(p,q)$-mixed volumes, we establish related cyclic inequalities, monotonic inequalities, and product inequalities.

Keywords

• ( p , q ) $(p,q)$ -mixed volume
• Cyclic inequality
• Monotonic inequality
• Product inequality