REFINEMENTS OF BOUNDS FOR NEUMAN MEANS IN TERMS OF ARITHMETIC AND CONTRAHARMONIC MEANS

被引：5
|
作者：
Qian, Wei-Mao [1 ]
Chu, Yu-Ming [2 ]
机构：
[1] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China
[2] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2015年 / 9卷 / 03期
关键词：
Schwab-Borchardt mean; Neuman mean; arithmetic mean; contraharmonic mean; SEIFFERT MEANS; INEQUALITIES;
D O I：
10.7153/jmi-09-71
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present the sharp upper and lower bounds for the Neuman means SAC and SCA in terms of the the arithmetic mean A and contraharmonic mean C. The given results are the improvements of some known results.
引用
收藏
页码：873 / 881
页数：9
相关论文
共 50 条
  • [1] Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means
    Guo, Zhi-Jun
    Chu, Yu-Ming
    Song, Ying-Qing
    Tao, Xiao-Jing
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [2] Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means
    He, Zai-Yin
    Chu, Yu-Ming
    Wang, Miao-Kun
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [3] Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
    Qian, Wei-Mao
    He, Zai-Yin
    Zhang, Hong-Wei
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [4] Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
    Wei-Mao Qian
    Zai-Yin He
    Hong-Wei Zhang
    Yu-Ming Chu
    [J]. Journal of Inequalities and Applications, 2019
  • [5] Bounds for the Combinations of Neuman-Sandor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean
    He, Zai-Yin
    Qian, Wei-Mao
    Jiang, Yun-Liang
    Song, Ying-Qing
    Chu, Yu-Ming
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Refinements of Bounds for Neuman Means
    Chu, Yu-Ming
    Qian, Wei-Mao
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [7] Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means
    Wei-Mao Qian
    Yu-Ming Chu
    [J]. Journal of Inequalities and Applications, 2014
  • [8] SHARP BOUNDS FOR NEUMAN MEANS IN TERMS OF GEOMETRIC, ARITHMETIC AND QUADRATIC MEANS
    Guo, Zhi-Jun
    Zhang, Yan
    Chu, Yu-Ming
    Song, Ying-Qing
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (02): : 301 - 312
  • [9] Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means
    Qian, Wei-Mao
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [10] OPTIMAL BOUNDS FOR TOADER MEAN IN TERMS OF ARITHMETIC AND CONTRAHARMONIC MEANS
    Song, Ying-Qing
    Jiang, Wei-Dong
    Chu, Yu-Ming
    Yan, Dan-Dan
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (04): : 751 - 757
12345