Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (4): 1044-1052.doi: 10.1016/S0252-9602(10)60101-4

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INEQUALITIES FOR Lp-MIXED CURVATURE IMAGES

 LU Feng-Hong1, WANG Wei-Dong2   

  • Received:2006-12-18 Online:2010-07-20 Published:2010-07-20
  • Supported by:

    Supported by Innovation Program of Shanghai Municipal Education Commission (10YZ160), Science and Technology Commission Foundation of Shanghai (071605123), and Science Foundation for the Excellent Youth Scholars of Shanghai

Abstract:

Lutwak, Yang,  and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the
affine isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The  properties and Lp analogs of the affine isoperimetric inequality are established for Lp-mixed curvature images.

Key words: Lp-mixed curvature images, affine isoperimetric inequality Lp-mixed projection body,  Lp-mixed centroid body

CLC Number: 

  • 52A40
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