Arithmetic, Geometric and Harmonic Sequences

被引：0
|
作者：
Stephen R. Wassell
机构：
[1] Sweet Briar College,Department of Mathematical Sciences
来源：
Nexus Network Journal | 2001年 / 3卷 / 2期
关键词：
Stephen Wassell; arithmetic mean; geometric mean; harmonic mean; number sequences; number series; progressions; architecture and mathematics; Nichomachus;
D O I：
10.1007/s00004-001-0030-9
中图分类号：
学科分类号：
摘要：
Stephen Wassell replies to the question posed by geometer Marcus the Marinite: if one can define arithmetic and geometric sequences, can one define a harmonic sequence?
引用
收藏
页码：151 / 155
页数：4
相关论文
共 50 条
  • [21] A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
    Kum, Sangho
    Lim, Yongdo
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [22] Inequalities for arithmetic-geometric-harmonic means of sector matrices
    Xie, Mengyan
    Zhang, Jiao
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5922 - 5931
  • [23] The arithmetic-geometric-harmonic-mean and related matrix inequalities
    Alic, M.
    Mond, B.
    Pecaric, J.
    Volenec, V.
    Linear Algebra and Its Applications, 1997, 264 (1-3): : 55 - 62
  • [24] A NOTE ON THE WEIGHTED HARMONIC-GEOMETRIC-ARITHMETIC MEANS INEQUALITIES
    Maze, Gerard
    Wagner, Urs
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (01): : 15 - 26
  • [25] A Note on Allen's Arc Elasticity with Arithmetic, Geometric and Harmonic Means
    Yang, Chin W.
    Loviscek, Anthony L.
    Cheng, Hui Wen
    Hung, Ken
    ATLANTIC ECONOMIC JOURNAL, 2012, 40 (02) : 161 - 171
  • [26] OPERATOR INEQUALITIES AMONG ARITHMETIC MEAN, GEOMETRIC MEAN AND HARMONIC MEAN
    Furuichi, Shigeru
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 669 - 672
  • [27] Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
    Trung Hoa Dinh
    Raluca Dumitru
    Jose A. Franco
    Lobachevskii Journal of Mathematics, 2019, 40 : 101 - 105
  • [28] Sharp bounds for Sandor mean in terms of arithmetic, geometric and harmonic means
    Qian, Wei-Mao
    Chu, Yu-Ming
    Zhang, Xiao-Hui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [29] FURTHER IMPROVEMENTS FOR YOUNG'S INEQUALITIES ON THE ARITHMETIC, GEOMETRIC, AND HARMONIC MEAN
    Yang, Xiangrun
    Yang, Changsen
    Li, Haiying
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (01): : 315 - 328
  • [30] SOME NEW INEQUALITIES AMONG THE ARITHMETIC, GEOMETRIC, HARMONIC AND QUADRATIC MEANS
    Mitev, Todor
    MATHEMATICS AND INFORMATICS, 2016, 59 (06): : 626 - 656
12345