• General 𝐿𝑝-Harmonic Blaschke Bodies

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      http://www.ias.ac.in/article/fulltext/pmsc/124/01/0109-0119

    • Keywords

       

      General 𝐿𝑝-harmonic Blaschke bodies; 𝐿𝑝-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 𝐿𝑝-harmonic Blaschke body of a star body. In this paper, we define the notion of general 𝐿𝑝-harmonic Blaschke bodies and establish some of its properties. In particular, we obtain the extreme values concerning the volume and the 𝐿𝑝-dual geominimal surface area of this new notion.

    • Author Affiliations

       

      Yibin Feng1 Weidong Wang1

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

       
  • Proceedings – Mathematical Sciences | News

© 2017 Indian Academy of Sciences, Bengaluru.