文献类型：期刊文献

英文题名：SCHUR CONVEXITY AND SCHUR-GEOMETRICALLY CONCAVITY OF GENERALIZED EXPONENT MEAN

作者：Li, Da-Mao[1];Shi, Huan-Nan[1]

第一作者：Li, Da-Mao

通讯作者：Li, DM[1]

机构：[1]Beijing Union Univ, Dept Elect Informat, Teachers Coll, Beijing 100011, Peoples R China

第一机构：北京联合大学应用科技学院电子信息系|北京联合大学师范学院

通讯机构：[1]corresponding author), Beijing Union Univ, Dept Elect Informat, Teachers Coll, Beijing 100011, Peoples R China.|[11417111]北京联合大学应用科技学院电子信息系;[11417]北京联合大学;[1141775]应用科技学院;[1141711]北京联合大学师范学院;

年份：2009

卷号：3

期号：2

起止页码：217-225

外文期刊名：JOURNAL OF MATHEMATICAL INEQUALITIES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000208046200008)】；

基金：The authors are supported in part by the Scientific Research Common Program of Beijing Municipal Commission of Education (KM200611417009).

语种：英文

外文关键词：Generalized exponent mean; monotonicity; Schur-convexity; Schur-geometrically concavity inequality; hyperbolic function

摘要：The monotonicity, the Schur-convexity and the Schur-geometrically convexity with variables (x, y) in R-++(2) for fixed a of the generalized exponent mean I-a(x, y) is proved. Besides, the monotonicity with parameters a in R for fixed (x, y) of I-a(x, y) is discussed by using the hyperbolic composite function. Furthermore, some new inequalities are obtained.