A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers

被引：61

作者：

Qi, Feng ^{[1
,2
,3
]}

机构：

[1] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China

[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 351卷

关键词：

Inequality; Ratio; Bernoulli number; Riemann zeta function; Dirichlet eta function; Accuracy; EXPLICIT FORMULAS; IDENTITIES;

D O I：

10.1016/j.cam.2018.10.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, by virtue of some properties for the Riemann zeta function, the author finds a double inequality for the ratio of two non-zero neighbouring Bernoulli numbers and analyses the approximating accuracy of the double inequality. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：1 / 5

页数：5

共 21 条

[1] Sharp bounds for the Bernoulli numbers [J].