Some Inequalities for L_p-mixed Affine Surface Area  

关于L_p-混合仿射表面积的不等式(英文)

作　　者：朱先阳 

机构地区：[1]Department of Mathematics,Jinggangshan University

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第4期572-581,共10页数学季刊（英文版）

基　　金：Supported by the NNSF of China(11161024);Supported by the NSF of Jiangxi Province (2010GZC0115)

摘　　要：In this paper, the concepts of the ith L;-mixed affine surface area and Lp-polar curvature images are introduced, some new inequalities connecting these new notions with Lρ-centroid bodies and ρ-Blaschke bodies are showed. Moreover, a Blaschke-Santalo type inequality for Lρ-mixed affine surface area is established. Our results also imply the similar to the inequalities for Marcus-Lopes, Bergstrom and Ky Fan.

关 键 词：Lρ-mixed atone surface area Lρ-polar curvature images ρ-Blaschke linearcombination Lρ-centroid body 

分 类 号：O184[理学—数学]