Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (1): 359-368.doi: 10.1016/S0252-9602(10)60052-5

• Articles • Previous Articles    

INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE Lp-PROJECTION BODY AND THE Lp-CENTROID BODY

  

  1. Department of Mathematics, China Three Gorges University, Yichang 443002, China
    Department of Mathematics, Hubei Institute for Nationalities,  |Enshi  |445000, China
  • Received:2005-12-29 Revised:2008-10-20 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    Sponsored by the Natural Science Foundation of China (10671117), Academic Mainstay Foundation of Hubei Province of China (D200729002) and Science Foundation of China Three Gorges University.

Abstract:

Associated with the concepts of the Lp-mixed quermassintegrals, the Lp-mixed volume, and the Lp-dual mixed volume, we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body. Further, the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.

Key words: Lp-centroid body, Lp-projection body, Lp-mixed projection body, quermassintegrals, shephard problem

CLC Number: 

  • 52A40
Trendmd