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
[21]   APPROXIMATIONS TO EULER'S CONSTANT [J].
Pilehrood, Kh Hessami ;
Pilehrood, T. Hessami .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (04) :761-773
[22]   Some quicker continued fraction approximations and inequalities towards Euler's constant [J].
Lu, Dawei ;
Song, Lixin ;
Yu, Yang .
JOURNAL OF NUMBER THEORY, 2017, 175 :100-116
[23]   A Family of Sequences which Converge to the Euler-Mascheroni Constant [J].
Harris, Ian R. .
CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (01) :37-45
[24]   Some New Convergent Sequences of Glaisher-Kinkelin's and Bendersky-Adamchik's Constants [J].
Lu, Dawei ;
Liu, Songhao .
RESULTS IN MATHEMATICS, 2017, 71 (1-2) :225-240
[25]   Criteria for irrationality of Euler's constant [J].
Sondow, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (11) :3335-3344
[26]   ASYMPTOTIC SERIES AND ESTIMATES OF A CONVERGENCE TO EULER-MASCHERONI CONSTANT [J].
Cristea, Valentin Gabriel .
JOURNAL OF SCIENCE AND ARTS, 2014, (02) :143-146
[27]   Legendre modified moments for Euler's constant [J].
Prevost, Marc .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 219 (02) :484-492
[28]   Some new improved classes of convergence towards Euler's constant [J].
Lu, Dawei .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 :24-32
[29]   Some New Convergent Sequences of Glaisher–Kinkelin’s and Bendersky–Adamchik’s Constants [J].
Dawei Lu ;
Songhao Liu .
Results in Mathematics, 2017, 71 :225-240
[30]   Inequalities for the Euler-Mascheroni constant [J].
Chen, Chao-Ping .
APPLIED MATHEMATICS LETTERS, 2010, 23 (02) :161-164