Some Inequalities for the Lp-p olar Curvature
Images of Star Bo dies
LI Xin-hong;MA Tong-yi
【期刊名称】《数学季刊（英文版）》 【年(卷),期】2016(031)004
【摘要】Zhu, L¨u and Leng extended the concept of Lp-polar curvature image. We con-tinuously 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-a?ne 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. 【总页数】10页(349-358) 【关键词】
【作者】LI Xin-hong;MA Tong-yi
【作者单位】College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China;College of Mathematics and Statistics, Hexi University, Zhangye 734000, China 【正文语种】英文 【中图分类】O184 【相关文献】
Some Inequalities for the Lp-p olar Curvature Images of Star Bo dies
