General L p -harmonic Blaschke bodies

• DOI: 10.1007/s12044-013-0158-z
• Publication Date: 2014-02-26T07:17:52Z
• Authors: YIBIN FENG; WEIDONG WANG
• Keywords: 0101 mathematics; 01 natural sciences

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.