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
来源：
FILOMAT | 2020年 / 34卷 / 11期
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
相关论文
共 50 条
  • [41] Schur-power convexity of integral mean for convex functions on the coordinates
    Shi, Huannan
    Zhang, Jing
    OPEN MATHEMATICS, 2023, 21 (01):
  • [42] Solution of an open problem for Schur convexity or concavity of the Gini mean values
    YuMing Chu
    WeiFeng Xia
    Science in China Series A: Mathematics, 2009, 52 : 2099 - 2106
  • [43] Solution of an open problem for Schur convexity or concavity of the Gini mean values
    Chu YuMing
    Xia WeiFeng
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (10): : 2099 - 2106
  • [44] SCHUR-CONVEXITY OF THE GENERALIZED HERONIAN MEANS INVOLVING TWO POSITIVE NUMBERS
    Fu, Li-Li
    Xi, Bo-Yan
    Srivastava, H. M.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (06): : 2721 - 2731
  • [45] Schur convexity of the dual form of complete symmetric function involving exponent parameter
    Shi, Huan-Nan
    Wu, Shan-He
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 836 - 845
  • [46] Schur convexity of the dual form of complete symmetric function involving exponent parameter
    Shi, Huan-Nan
    Wu, Shan-He
    Italian Journal of Pure and Applied Mathematics, 2020, 44 : 836 - 845
  • [47] SCHUR-HARMONIC CONVEXITY FOR DIFFERENCES OF SOME SPECIAL MEANS IN TWO VARIABLES
    Wu, Ying
    Qi, Feng
    Shi, Huan-Nan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (02): : 321 - 330
  • [48] NECESSARY AND SUFFICIENT CONDITIONS FOR THE SCHUR HARMONIC CONVEXITY OR CONCAVITY OF THE EXTENDED MEAN VALUES
    Xia, Wei-Feng
    Chu, Yu-Ming
    Wang, Gen-Di
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2011, 52 (01): : 121 - 132
  • [49] Schur-Convexity of Two Types of One-Parameter Mean Values in[inline-graphic not available: see fulltext] Variables
    Ning-Guo Zheng
    Zhi-Hua Zhang
    Xiao-Ming Zhang
    Journal of Inequalities and Applications, 2007
  • [50] Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
    Wu, Yi-Ting
    Qi, Feng
    MATHEMATICA SLOVACA, 2023, 73 (01) : 3 - 14
12345