A series of sequences convergent to Euler’s constant

被引:0
|
作者
Li-Jiang Jia
Bin Ge
Li-Li Liu
Yi Ran
机构
[1] Harbin Engineering University,School of Economics and Management
[2] Harbin Engineering University,Department of Applied Mathematics
来源
Journal of Inequalities and Applications | / 2018卷
关键词
Euler’s constant; Rate of convergence; Asymptotic expansion; 11Y60; 40A05; 40A20; 41A25; 34E05; 35J70;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, using continued fraction, we provide a new quicker sequence convergent to Euler’s constant. We demonstrate the superiority of our new convergent sequences over DeTemple’s sequence, Mortici’s sequences, Vernescu’s sequence, and Lu’s sequence.
引用
收藏
相关论文
共 50 条
  • [1] A series of sequences convergent to Euler's constant
    Jia, Li-Jiang
    Ge, Bin
    Liu, Li-Li
    Ran, Yi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [2] Some quicker classes of sequences convergent to Euler's constant
    Lu, Dawei
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 172 - 177
  • [3] Some new convergent sequences and inequalities of Euler's constant
    Lu, Dawei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 541 - 552
  • [4] OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
    Mortici, Cristinel
    ANALYSIS AND APPLICATIONS, 2010, 8 (01) : 99 - 107
  • [5] A new quicker sequence convergent to Euler's constant
    Lu, Dawei
    JOURNAL OF NUMBER THEORY, 2014, 136 : 320 - 329
  • [6] Some New Sequences and Inequalities Related to Euler’s Constant
    Jinghai Feng
    Dawei Lu
    Zixuan Wen
    Results in Mathematics, 2018, 73
  • [7] New sequences with continued fraction towards Euler's constant
    Lu, Dawei
    Song, Lixin
    Yu, Yang
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 12 - 20
  • [8] Some New Sequences and Inequalities Related to Euler's Constant
    Feng, Jinghai
    Lu, Dawei
    Wen, Zixuan
    RESULTS IN MATHEMATICS, 2018, 73 (04)
  • [9] New Quicker Sequences and Inequalities with Continued Fraction Towards Euler's Constant
    Hu, Xiaoyun
    Lu, Dawei
    Wang, Xiaoguang
    RESULTS IN MATHEMATICS, 2018, 73 (01) : 1 - 10
  • [10] New Quicker Sequences and Inequalities with Continued Fraction Towards Euler’s Constant
    Xiaoyun Hu
    Dawei Lu
    Xiaoguang Wang
    Results in Mathematics, 2018, 73