Inequalities on asymmetric Lp-harmonic radial bodies

Lutwak introduced the Lp-harmonic radial body of a star body. In this paper, we define the notion of asymmetric Lp- harmonic radial bodies and study their properties. In particular, we obtain the extremum values of dual quermassintegrals and the volume of the polars of the asymmetric Lp-harmonic radial bodies, respectively.