Optimal Bounds for Neuman-Sandor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means

被引:77
|
作者
Zhao, Tie-Hong [1 ]
Chu, Yu-Ming [2 ]
Liu, Bao-Yu [3 ]
机构
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 313036, Zhejiang, Peoples R China
[2] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
关键词
INEQUALITIES;
D O I
10.1155/2012/302635
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present the best possible lower and upper bounds for the Neuman-Sandor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] 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,
  • [2] Sharp bounds for the Neuman-Sandor mean in terms of the power and contraharmonic means
    Jiang, Wei-Dong
    Qi, Feng
    [J]. COGENT MATHEMATICS, 2015, 2
  • [3] OPTIMAL BOUNDS FOR NEUMAN-SANDOR MEAN IN TERMS OF THE CONVEX COMBINATION OF LOGARITHMIC AND QUADRATIC OR CONTRA-HARMONIC MEANS
    Chu, Yuming
    Zhao, Tiehong
    Liu, Baoyu
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (02): : 201 - 217
  • [4] Optimal bounds for Neuman-Sandor mean in terms of the geometric convex combination of two Seiffert means
    Huang, Hua-Ying
    Wang, Nan
    Long, Bo-Yong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 11
  • [5] Best Possible Bounds for Neuman-Sandor Mean by the Identric, Quadratic and Contraharmonic Means
    Zhao, Tie-Hong
    Chu, Yu-Ming
    Jiang, Yun-Liang
    Li, Yong-Min
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Optimal bounds for the Neuman-Sandor mean in terms of the first Seiffert and quadratic means
    Gong, Wei-Ming
    Shen, Xu-Hui
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [7] SHARP BOUNDS FOR NEUMAN-SANDOR MEAN IN TERMS OF THE CONVEX COMBINATION OF QUADRATIC AND FIRST SEIFFERT MEANS
    Chu, Yuming
    Zhao, Tiehong
    Song, Yingqing
    [J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (03) : 797 - 806
  • [8] Optimal bounds for Neuman-Sandor mean in terms of the convex combination of the logarithmic and the second Seiffert means
    Chen, Jing-Jing
    Lei, Jian-Jun
    Long, Bo-Yong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [9] Optimal Bounds for the Neuman-Sandor Mean in terms of the Convex Combination of the First and Second Seiffert Means
    Cui, Hao-Chuan
    Wang, Nan
    Long, Bo-Yong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [10] Bounds for the Neuman-Sandor Mean in Terms of the Arithmetic and Contra-Harmonic Means
    Li, Wen-Hui
    Miao, Peng
    Guo, Bai-Ni
    [J]. AXIOMS, 2022, 11 (05)