Schur Convexity of Mixed Mean of n Variables Involving Three Parameters

被引:1
|
作者
Wang, Dong-Sheng [1 ]
Shi, Huan-Nan [2 ]
Fu, Chun-Ru [3 ]
机构
[1] Beijing Polytech, Basic Courses Dept, Beijing 100176, Peoples R China
[2] Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China
[3] Beijing Union Univ, Appl Coll Sci & Technol, Beijing 102200, Peoples R China
关键词
mixed mean of n variables; Schur convexity; Schur geometric convexity; Schur harmonic convexity; majorization; inequalities; HARMONIC-CONVEXITY; VALUES;
D O I
10.2298/FIL2011663W
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss the Schur convexity, the Schur geometric convexity and Schur harmonic convexity of the mixed mean of n variables involving three parameters. As an application, we have established some inequalities of the Ky Fan type related to the mixed mean of n variables, and the lower bound inequality of Gini mean for n variables is given.
引用
收藏
页码:3663 / 3674
页数:12
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