Some New Sequences and Inequalities Related to Euler’s Constant

被引：0
|
作者：
Jinghai Feng
Dawei Lu
Zixuan Wen
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
来源：
Results in Mathematics | 2018年 / 73卷
关键词：
Euler’s constant; rate of convergence; asymptotic expansion; inequalities; 11Y60; 41A25; 34E05; 33F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by using polynomial, we define some new sharp sequences of Euler’s constant and give the related inequalities. Besides, some numerical simulations are presented to demonstrate the superiority of our sequences over Mortici’s sequences and Lu’s sequences.
引用
收藏
相关论文
共 50 条
  • [31] Approximation formulas and inequalities for the Euler-Mascheroni constant
    Chao-Ping Chen
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [32] Continued fraction inequalities for the Euler-Mascheroni constant
    Xu, Hongmin
    You, Xu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [33] Gerber's inequality and some related inequalities
    Alic, M
    Bullen, PS
    Pecaric, J
    Volenec, V
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1998, 1 (04): : 507 - 516
  • [34] A characterization of Euler's constant
    Alzer, Horst
    EXPOSITIONES MATHEMATICAE, 2013, 31 (04) : 385 - 391
  • [35] A generalization of Euler's constant
    Sintamarian, Alina
    NUMERICAL ALGORITHMS, 2007, 46 (02) : 141 - 151
  • [36] A generalization of Euler’s constant
    Alina Sîntămărian
    Numerical Algorithms, 2007, 46 : 141 - 151
  • [37] APPROXIMATIONS TO EULER'S CONSTANT
    Pilehrood, Kh Hessami
    Pilehrood, T. Hessami
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (04): : 761 - 773
  • [38] Some New Convergent Sequences of Glaisher-Kinkelin's and Bendersky-Adamchik's Constants
    Lu, Dawei
    Liu, Songhao
    RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 225 - 240
  • [39] On New Sequences Converging Towards the Ioachimescu’s Constant
    Xu You
    Results in Mathematics, 2017, 71 : 1491 - 1498
  • [40] A Family of Sequences which Converge to the Euler-Mascheroni Constant
    Harris, Ian R.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (01) : 37 - 45
12345