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
  • [1] Some New Sequences and Inequalities Related to Euler's Constant
    Feng, Jinghai
    Lu, Dawei
    Wen, Zixuan
    RESULTS IN MATHEMATICS, 2018, 73 (04)
  • [2] Some new convergent sequences and inequalities of Euler's constant
    Lu, Dawei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 541 - 552
  • [3] 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
  • [4] New Quicker Sequences and Inequalities with Continued Fraction Towards Euler’s Constant
    Xiaoyun Hu
    Dawei Lu
    Xiaoguang Wang
    Results in Mathematics, 2018, 73
  • [5] New sequences with continued fraction towards Euler's constant
    Lu, Dawei
    Song, Lixin
    Yu, Yang
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 12 - 20
  • [6] Some quicker continued fraction approximations and inequalities towards Euler's constant
    Lu, Dawei
    Song, Lixin
    Yu, Yang
    JOURNAL OF NUMBER THEORY, 2017, 175 : 100 - 116
  • [7] Some quicker classes of sequences convergent to Euler's constant
    Lu, Dawei
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 172 - 177
  • [8] 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
  • [9] 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,
  • [10] Some new continued fraction approximation of Euler's constant
    Lu, Dawei
    Song, Lixin
    Yu, Yang
    JOURNAL OF NUMBER THEORY, 2015, 147 : 69 - 80
12345