Optimal Bounds for Seiffert Mean in terms of One-Parameter Means

被引：5
|
作者：
Hu, Hua-Nan [3 ]
Tu, Guo-Yan [2 ]
Chu, Yu-Ming [1 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Tongji Zhejiang Coll, Dept Basic Course Teaching, Jiaxing 314000, Peoples R China
[3] Huzhou Teachers Coll, Acquisit & Cataloging Dept Lib, Huzhou 313000, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
CONVEXITY; VALUES;
D O I：
10.1155/2012/917120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors present the greatest value r(1) and the least value r(2) such that the double inequality J(r1) (a, b) < T (a, b) < J(r2) (a, b) holds for all a, b > 0 with a not equal b, where T (a, b) and J(p) (a, b) denote the Seiffert and pth one-parameter means of two positive numbers a and b, respectively.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Sharp Power Mean Bounds for the One-Parameter Harmonic Mean
    Chu, Yu-Ming
    Wu, Li-Min
    Song, Ying-Qing
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [22] SHARP BOUNDS FOR SEIFFERT MEANS IN TERMS OF LEHMER MEANS
    Wang, Miao-Kun
    Qiu, Ye-Fang
    Chu, Yu-Ming
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2010, 4 (04): : 581 - 586
  • [23] Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean
    Chu, Yu-Ming
    Hou, Shou-Wei
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [24] OPTIMAL CONVEX COMBINATION BOUNDS OF SEIFFERT AND GEOMETRIC MEANS FOR THE ARITHMETIC MEAN
    Chu, Yu-Ming
    Zong, Cheng
    Wang, Gen-Di
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (03): : 429 - 434
  • [25] 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
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [26] 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
    Journal of Inequalities and Applications, 2015
  • [27] Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means
    Hua-Ying Huang
    Nan Wang
    Bo-Yong Long
    Journal of Inequalities and Applications, 2016
  • [28] Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means
    Jing-Jing Chen
    Jian-Jun Lei
    Bo-Yong Long
    Journal of Inequalities and Applications, 2017
  • [29] Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean
    Ling Zhu
    Branko Malešević
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [30] Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean
    Zhu, Ling
    Malesevic, Branko
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
12345