• General $L_p$-Harmonic Blaschke Bodies

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/01/0109-0119

• # Keywords

General $L_p$-harmonic Blaschke bodies; $L_p$-harmonic Blaschke bodies; extreme values.

• # Abstract

Lutwak introduced the harmonic Blaschke combination and the harmonic Blaschke body of a star body. Further, Feng and Wang introduced the concept of the $L_p$-harmonic Blaschke body of a star body. In this paper, we define the notion of general $L_p$-harmonic Blaschke bodies and establish some of its properties. In particular, we obtain the extreme values concerning the volume and the $L_p$-dual geominimal surface area of this new notion.

• # Author Affiliations

1. Department of Mathematics, China Three Gorges University, Yichang 443002, China

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019