杭州师范大学学报(自然科学版)2018,Vol.17Issue(2):183-190,8.DOI:10.3969/j.issn.1674-232X.2018.02.013
多变量Lehmer平均的Schur幂凸性
Schur Power Convexity for Lehmer Mean of Several Variables
摘要
Abstract
In this paper,the Schur power convexity for Lehmer mean of several variables is studied,which generalizes the results of Gu and Fu about the Schur convexity,Schur geometric convexity and Schur harmonic convexity for Lehmer mean of several variables,and some comparison inequalities with power mean of several variables are established.关键词
Schur幂凸性/Lehmer平均/Hölder平均/控制关系Key words
Schur power convexity/Lehmer mean/Holder mean/control relation分类
数理科学引用本文复制引用
库颖颖,赵铁洪..多变量Lehmer平均的Schur幂凸性[J].杭州师范大学学报(自然科学版),2018,17(2):183-190,8.基金项目
国家自然科学基金项目(11301127). (11301127)