文献类型：期刊文献

英文题名：Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function

作者：Shi, Huan-Nan[1];Zhang, Jing[2];Ma, Qing-Hua[3]

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;[3]Beijing Union Univ, Coll Appl Arts & Sci, Beijing 100083, 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：2016

卷号：5

期号：1

外文期刊名：SPRINGERPLUS

收录：;Scopus(收录号：2-s2.0-84960091032);WOS:【SCI-EXPANDED(收录号:WOS:000373220800010)】；

基金：The work was supported by the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (Grant No. IDHT201304089) and the National Natural Science Foundation of China (Grant No. 11501030). The authors are indebted to the referees for their helpful suggestions.

语种：英文

外文关键词：Schur-convexity; Schur-geometric convexity; Schur-harmonic convexity; Complete symmetric function

摘要：In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.