Optimal bounds for Neuman-Sandor mean in terms of the geometric convex combination of two Seiffert means

被引：5
|
作者：
Huang, Hua-Ying [1 ]
Wang, Nan [1 ]
Long, Bo-Yong [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
美国国家科学基金会;
关键词：
Neuman-Sandor mean; the first Seiffert mean; the second Seiffert mean; INEQUALITIES;
D O I：
10.1186/s13660-015-0955-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find the least value a and the greatest value,8 such that the double inequality P-alpha (a, b)T1-alpha (a, b) < M(a, b) < P-beta (a, b)T1-beta (a, b) holds for all a, b > 0 with a not equal b, where M(a, b), P(a, b), and T (a, b) are the Neuman-Sandor, the first and second Seiffert means of two positive numbers a and b, respectively.
引用
收藏
页码：1 / 11
页数：11
相关论文
共 50 条
  • [41] THE OPTIMAL CONVEX COMBINATION BOUNDS OF ARITHMETIC AND HARMONIC MEANS IN TERMS OF POWER MEAN
    Xia, We-Feng
    Janous, Walther
    Chu, Yu-Ming
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (02): : 241 - 248
  • [42] Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means
    Chu, Yu-Ming
    Qian, Wei-Mao
    Wu, Li-Min
    Zhang, Xiao-Hui
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [43] Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means
    Yu-Ming Chu
    Wei-Mao Qian
    Li-Min Wu
    Xiao-Hui Zhang
    [J]. Journal of Inequalities and Applications, 2015
  • [44] Sharp Geometric Mean Bounds for Neuman Means
    Zhang, Yan
    Chu, Yu-Ming
    Jiang, Yun-Liang
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [45] Optimal Lehmer Mean Bounds for the Geometric and Arithmetic Combinations of Arithmetic and Seiffert Means
    Chu, Y. -M.
    Wang, M. -K.
    Qiu, Y. -F.
    [J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2012, 2 (01): : 3 - 9
  • [46] OPTIMAL BOUNDS OF THE ARITHMETIC MEAN IN TERMS OF NEW SEIFFERT-LIKE MEANS
    Nowicka, Monika
    Witkowski, Alfred
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 383 - 392
  • [47] Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
    Xia, Weifeng
    Hou, Shouwei
    Wang, Gendi
    Chu, Yuming
    [J]. JOURNAL OF APPLIED ANALYSIS, 2012, 18 (02) : 197 - 207
  • [48] Optimal bounds for two Sandor-type means in terms of power means
    Zhao, Tie-Hong
    Qian, Wei-Mao
    Song, Ying-Qing
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [49] 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,
  • [50] Sharp bounds for Seiffert and Neuman-Sándor means in terms of generalized logarithmic means
    Yu-Ming Chu
    Bo-Yong Long
    Wei-Ming Gong
    Ying-Qing Song
    [J]. Journal of Inequalities and Applications, 2013
12345