数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 349-358.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.003
#br#
摘要: Zhu,Lü and Leng extended the concept of Lp-polar curvature image. We continuously study the Lp-polar curvature image and mainly expound the relations between the volumes of star bodies and their Lp-polar curvature images in this article. We first establish the Lp-affine isoperimetric inequality associated with Lp-polar curvature image. Secondly,we give a monotonic property for Lp-polar curvature image. Finally, we obtain an interesting equation related to Lp-projection body of Lp-polar curvature image and Lp-centroid body.
中图分类号: