OPTIMAL BOUNDS FOR CERTAIN BIVARIATE MEANS

被引：3
|
作者：
Neuman, Edward [1 ]
机构：
[1] Math Res Inst, 144 Hawthorn Hollow, Carbondale, IL 62903 USA
来源：
PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2014年 / 3卷 / 01期
关键词：
Bivariate means; one-parameter means; optimal bounds; inequalities;
D O I：
10.15393/j3.art.2014.2361
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New bivariate means, introduced and investigated in [1], play a central role in this work. The lower and upper bounds for those means are obtained. Bounding quantities are the one-parameter means derived from the harmonic and contraharmonic means by forming convex combinations of the variables of these two means.
引用
收藏
页码：35 / 43
页数：9
相关论文
共 50 条
  • [1] INEQUALITIES AND BOUNDS FOR A CERTAIN BIVARIATE ELLIPTIC MEAN
    Neuman, Edward
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (04): : 1375 - 1385
  • [2] A note on certain inequalities for bivariate means
    Sandor, Jozsef
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2014, 20 (05) : 11 - 13
  • [3] COMPANION INEQUALITIES FOR CERTAIN BIVARIATE MEANS
    Neuman, Edward
    Sandor, Jozsef
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2009, 3 (01) : 46 - 51
  • [4] Optimal lower bounds for bivariate probabilities
    Chen, TH
    [J]. ADVANCES IN APPLIED PROBABILITY, 1998, 30 (02) : 476 - 492
  • [5] INEQUALITIES AND BOUNDS FOR A CERTAIN BIVARIATE ELLIPTIC MEAN II
    Neuman, Edward
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (02): : 345 - 352
  • [6] INEQUALITIES INVOLVING CERTAIN BIVARIATE MEANS II
    Neuman, Edward
    [J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2013, 4 (04): : 12 - 20
  • [7] AN OPTIMAL INEQUALITIES CHAIN FOR BIVARIATE MEANS
    Yang, Zhen-Hang
    Chu, Yu-Ming
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 331 - 343
  • [8] SOME OPTIMAL BIVARIATE BONFERRONI-TYPE BOUNDS
    GALAMBOS, J
    XU, Y
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (02) : 523 - 528
  • [9] Sharp bounds for Neuman means in terms of one-parameter family of bivariate means
    Shao, Zhi-Hua
    Qian, Wei-Mao
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [10] Sharp bounds for Neuman means in terms of one-parameter family of bivariate means
    Zhi-Hua Shao
    Wei-Mao Qian
    Yu-Ming Chu
    [J]. Journal of Inequalities and Applications, 2014
12345