文献类型：期刊文献

英文题名：ORLICZ GEOMINIMAL SURFACE AREAS

作者：Yuan, Shufeng[1,2];Jin, Hailin[2];Leng, Gangsong[2]

机构：[1]Shaoxing Univ, Shangyu Coll, Shaoxing 312300, Zhejiang, Peoples R China;[2]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

年份：2015

卷号：18

期号：1

起止页码：353

外文期刊名：MATHEMATICAL INEQUALITIES & APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000355197100025)、、Scopus(收录号：2-s2.0-84908611813)、WOS

基金：The research was supported by national NSF of China No. 11271244 and by Foundation of Education Department of Zhejiang Province of China Y201328555.

语种：英文

外文关键词：Convex body; Orlicz mixed volume; Orlicz geominimal surface area; inequality

外文摘要：In 1996, E. Lutwak extended the important concept of geominimal surface area to Lp version, which serves as a bridge connecting a number of areas of geometry: affine differential geometry, relative differential geometry, and Minkowskian geometry. In this paper, by using the concept of Orlicz mixed volume, we extend geominimal surface area to the Orlicz version and give some properties and an isoperimetric inequalities for the Orlicz geominimal surface areas.