Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1750-1764.

• Articles • Previous Articles     Next Articles

The Stability of Aleksandrov-Fenchel Inequality for Polars of Mixed Projection Bodies |and Mixed Intersection Bodies

  

  1. Department of Mathematics, Hexi University, Gansu |Zhangye |734000
  • Received:2007-11-23 Revised:2008-12-22 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10971128)和甘肃省教育厅科研基金(0709-03)资助

Abstract:

A metric method for homothetic deviation of m(m ≥ 2) geometirc bodies(star bodies or convex bodies) is provided. By the metric mthod, and utilizing a refinement of Hölder inequality the author establishes a stablity version of Aleksandrov-Fenchel inequality for polars of mixed projection bodies and mixed intersection bodies.

Key words: Convex body, Star body,  Mixed projection body, Mixed intersection body, Polar of mixed projection body

CLC Number: 

  • 52A40
Trendmd