Lp-moment mixed quermassintegrals

Leiqin Yin, Yanli Guan, Wenxue Xu

Abstract


Lp-moment mixed quermassintegrals of convex bodies in R^n
are introduced. The Brunn-Minkowski type inequality and Aleksandrov-Fenchel type inequality are established for Lp-moment mixed quermassintegrals that imply affine mixed quermassintegrals inequality, Lutwak's mixed polar projection inequality, and
isoperimetric inequality for Lp-moment mixed quermassintegrals.
Inequalities of Lp-moment mixed quermassintegrals of polar bodies
are proved.


Refbacks

  • There are currently no refbacks.