Inequalities on asymmetric \(L_p\)-harmonic radial bodies

Volume 10, Issue 7, pp 3612--3618 http://dx.doi.org/10.22436/jnsa.010.07.21

Publication Date: July 25, 2017 Submission Date: February 14, 2017

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Authors

Zhaofeng Li - Department of Mathematics, China Three Gorges University, Yichang, 443002, China. Weidong Wang - Department of Mathematics, China Three Gorges University, Yichang, 443002, China.

Abstract

Lutwak introduced the \(L_p\)-harmonic radial body of a star body. In this paper, we define the notion of asymmetric \(L_p\)- 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 \(L_p\)-harmonic radial bodies, respectively.

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Keywords

• Star body
• \(L_p\)-harmonic radial body
• asymmetric \(L_p\)-harmonic radial body
• dual quermassintegrals
• polar.

MSC

•  52A20
•  52A39
•  52A40

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