内蒙古民族大学学报：自然科学版2011，Vol.26Issue(6)：637-641,5.
关于几个平均数商的Schur—凸性的研究
Schur- Convexity for Quotient of Some Means
摘要
Abstract
The theories of the Schur-concavity of Multivariate Function is an significant subject, lots of scholars are studying the question at home and abroad. In this article,we discussed the difference of some famous means such as arithmetic mean, geometric mean, harmonic mean, root-square mean,etc. And the Schur- concavity, Schur- geometry concavity and Schur- harmonic concavity in for some inequalities related to the difference of means are obtained.关键词
算术平均/Schur—几何凸性/Schur—调和凸性/根平方平均/平方根平均/Heron平均/商Key words
Arithmetic mean/Schur-geometry concavity/Schur-harmonic concavity/Root-square mean/Square-root mean Heron mean/Quotient分类
数理科学引用本文复制引用
尹红萍,包金山,吴英..关于几个平均数商的Schur—凸性的研究[J].内蒙古民族大学学报：自然科学版,2011,26(6):637-641,5.基金项目
感谢北京联合大学的石焕南教授的帮助! （）
