THE POWER AND GENERALIZED LOGARITHMIC MEANS

被引:125
|
作者
STOLARSKY, KB
机构
来源
AMERICAN MATHEMATICAL MONTHLY | 1980年 / 87卷 / 07期
关键词
D O I
10.2307/2321420
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:545 / 548
页数:4
相关论文
共 50 条
  • [21] 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
    Journal of Inequalities and Applications, 2013
  • [22] Generalized power means and interpolating inequalities
    Ku, HT
    Ku, MC
    Zhang, XM
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) : 145 - 154
  • [23] GENERALIZED POWER MEANS FOR MATRIX FUNCTIONS
    MOND, B
    PECARIC, JE
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1995, 46 (1-2): : 33 - 39
  • [24] OPTIMAL GENERALIZED LOGARITHMIC MEAN BOUNDS FOR THE GEOMETRIC COMBINATION OF ARITHMETIC AND HARMONIC MEANS
    Long, Bo-Yong
    Chu, Yu-Ming
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2011, 17 (02) : 85 - 96
  • [25] On New Means with Interesting Practical Applications: Generalized Power Means
    Amat, Sergio
    Magrenan, Alberto
    Ruiz, Juan
    Trillo, Juan Carlos
    Yanez, Dionisio F.
    MATHEMATICS, 2021, 9 (09)
  • [26] A new family of means: the generalized weighted power means and applications
    Amat, Sergio
    Jimenez, Isabel
    Ruiz, Juan
    Carlos Trillo, Juan
    Yanez, Dionisio F.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (02) : 422 - 439
  • [27] A NOTE ON LOGARITHMIC MEANS
    ISHIGURO, K
    PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (08): : 575 - &
  • [28] Some Inequalities for Power Means; a Problem from "The Logarithmic Mean Revisited"
    Jameson, G. J. O.
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (03): : 276 - 278
  • [29] ON THE INVARIANCE EQUATION FOR MEANS OF GENERALIZED POWER GROWTH
    Pasteczka, Pawe
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (03): : 691 - 702
  • [30] Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
    Qian, Wei-Mao
    Long, Bo-Yong
    JOURNAL OF APPLIED MATHEMATICS, 2012,