文献类型：期刊文献

英文题名：SCHUR-CONVEXITY, SCHUR GEOMETRIC AND SCHUR HARMONIC CONVEXITIES OF DUAL FORM OF A CLASS SYMMETRIC FUNCTIONS

作者：Shi, Huan-Nan[1];Zhang, Jing[2]

第一作者：Shi, Huan-Nan

通讯作者：Zhang, J[1]

机构：[1]Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China;[2]Beijing Union Univ, Basic Courses Dept, Beijing 100101, Peoples R China

第一机构：北京联合大学师范学院|北京联合大学应用科技学院电子信息系

通讯机构：[1]corresponding author), Beijing Union Univ, Basic Courses Dept, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2014

卷号：8

期号：2

起止页码：349-358

外文期刊名：JOURNAL OF MATHEMATICAL INEQUALITIES

收录：;Scopus(收录号：2-s2.0-84902490412);WOS:【SCI-EXPANDED(收录号:WOS:000339152000013)】；

基金：The work was supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (PHR (IHLB)) (PHR201108407). The authors would like to thank professor Alan Horwitz and the anonymous reviewer that helped us improve this article.

语种：英文

外文关键词：Schur-convexity; Schur geometric convexity; Schur harmonic convexity; inequality; log-convex function; symmetric functions; dual form

摘要：By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic convexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones.