Some quicker continued fraction approximations and inequalities towards Euler's constant

被引：3

作者：

Lu, Dawei ^{[1
,2
]}

Song, Lixin ^{[1
]}

Yu, Yang ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

[2] Chinese Univ Hong Kong, Dept Stat, Shatin, Hong Kong, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 175卷

基金：

中国国家自然科学基金;

关键词：

Euler's constant; Continued fraction; Rate of convergence; Asymptotic expansion; Inequalities; SEQUENCES CONVERGENT;

D O I：

10.1016/j.jnt.2016.11.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define some new continued fraction sequences towards Euler's constant and two related inequalities. We also present some numerical simulations to demonstrate the superiority of the optimal new sequences over new sequences with other coefficients and Lu's sequences at the end of this article. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：100 / 116

页数：17

共 19 条

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