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
  • [21] 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,
  • [22] Optimal bounds for the sine and hyperbolic tangent means IV
    Monika Nowicka
    Alfred Witkowski
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [23] Approximation of certain bivariate functions by almost Euler means of double Fourier series
    Arti Rathore
    Uaday Singh
    [J]. Journal of Inequalities and Applications, 2018
  • [24] Approximation of certain bivariate functions by almost Euler means of double Fourier series
    Rathore, Arti
    Singh, Uaday
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [25] Optimal bounds for Toader mean in terms of general means
    Zhang, Qian
    Xu, Bing
    Han, Maoan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [26] Optimal bounds for Toader mean in terms of general means
    Qian Zhang
    Bing Xu
    Maoan Han
    [J]. Journal of Inequalities and Applications, 2020
  • [27] Optimal bounds for the sine and hyperbolic tangent means IV
    Nowicka, Monika
    Witkowski, Alfred
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (02)
  • [28] OPTIMAL BOUNDS FOR THE TANGENT AND HYPERBOLIC SINE MEANS II
    Nowicka, Monika
    Witkowski, Alfred
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (01): : 23 - 33
  • [29] Optimal bounds for the sine and hyperbolic tangent means II
    Nowicka, Monika
    Witkowski, Alfred
    [J]. JOURNAL OF APPLIED ANALYSIS, 2021, 27 (01) : 65 - 72
  • [30] Optimal bounds of classical and non-classical means in terms of Q means
    Nowicka, Monika
    Witkowski, Alfred
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (01)