两类广义Seiffert平均的Schur凹凸性  

Schur Convexity and Concavity for Two Kinds of the Generalized Seiffert Means

作　　者：周步钏 刘悦 王淼坤[1] ZHOU Buchuan;LIU Yue;WANG Miaokun(School of Scicncc,Huzhou Univcrsity,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2018年第10期7-12,共6页Journal of Huzhou University

基　　金：浙江省教育厅科研计划项目(Y201636325)

摘　　要：给出了齐次对称平均值的Schur凹凸性、Schur几何凹凸性和Schur调和凹凸性的充分必要条件,并运用其证得了两类广义Seiffert平均的Schur凹凸性和Schur几何凹凸性,推广了一些已知结果.In this thesis, we give a necessary and sufficient condition for Schur convexity and concavity, Schur multiplicatively convexity and concavity, Schur harmonic convexity and concavity for the homogenous and symmetric mean. With its application, Schur convexity and concavity and Schur multiplicatively convexity and concavity for two kinds of generalized Seiffert means are proved, which generalize some well known results.

关 键 词：广义Seiffert平均 Schur凹凸性 单调性 

分 类 号：O172[理学—数学]