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
  • [41] 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
  • [42] LOWER AND UPPER BOUNDS ON OPTIMAL FILTERING ERROR OF CERTAIN DIFFUSION PROCESSES
    ZAKAI, M
    ZIV, J
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1972, 18 (03) : 325 - +
  • [43] CONSTRUCTION OF CERTAIN BIVARIATE DISTRIBUTIONS
    JOSHI, SW
    [J]. AMERICAN STATISTICIAN, 1970, 24 (02): : 32 - &
  • [44] A NOTE ON A CERTAIN BIVARIATE MEAN
    Neuman, Edward
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (04): : 637 - 643
  • [45] On the degree of approximation of certain continuous bivariate functions by double matrix means of a double Fourier series
    Krasniqi, Xhevat Zahir
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 609 - 628
  • [46] Optimal Bounds for Seiffert Mean in terms of One-Parameter Means
    Hu, Hua-Nan
    Tu, Guo-Yan
    Chu, Yu-Ming
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [47] Optimal bounds for logarithmic and identric means in terms of generalized centroidal mean
    Zhang, Tao
    Xia, Weifeng
    Chu, Yuming
    Wang, Gendi
    [J]. JOURNAL OF APPLIED ANALYSIS, 2013, 19 (01) : 141 - 152
  • [48] OPTIMAL BOUNDS FOR THE SANDOR MEAN IN TERMS OF THE COMBINATION OF GEOMETRIC AND ARITHMETIC MEANS
    Qian, Wei-Mao
    Ma, Chun-Lin
    Xu, Hui-Zuo
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (02): : 667 - 674
  • [49] Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means
    Bo-Yong Long
    Yu-Ming Chu
    [J]. Journal of Inequalities and Applications, 2010
  • [50] Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means
    Long, Bo-Yong
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
12345