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

被引：58

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 50 条

[1] On subgroups with non-zero Mobius numbers in the alternating and symmetric groups
Colombo, Valentina
Lucchini, Andrea
JOURNAL OF ALGEBRA, 2010, 324 (09) : 2464 - 2474
[2] Induced quantum numbers of a magnetic vortex at non-zero temperature
Sitenko, YA
Gorkavenko, VM
NUCLEAR PHYSICS B, 2005, 714 (03) : 217 - 255
[3] An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane
Nadirashvili, Nikolai S.
Penskoi, Alexei, V
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018, 28 (05) : 1368 - 1393
[4] An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane
Nikolai S. Nadirashvili
Alexei V. Penskoi
Geometric and Functional Analysis, 2018, 28 : 1368 - 1393
[5] Non-zero digits in the expansion of irrational algebraic numbers in an integer base
Adamczewski, Boris
Faverjon, Colin
COMPTES RENDUS MATHEMATIQUE, 2012, 350 (1-2) : 1 - 4
[6] BERNOULLI DIFFEOMORPHISMS AND GROUP EXTENSIONS OF DYNAMICAL-SYSTEMS WITH NON-ZERO CHARACTERISTIC EXPONENTS
BRIN, MI
FELDMAN, J
KATOK, A
ANNALS OF MATHEMATICS, 1981, 113 (01) : 159 - 179
[7] Two Non-Zero Solutions for Elliptic Dirichlet Problems
Bonanno, Gabriele
D'Agui, Giuseppina
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2016, 35 (04): : 449 - 464
[8] Theoretical analysis of the mass balance equation through a flame at zero and non-zero Mach numbers
Bauerheim, Michael
Nicoud, Franck
Poinsot, Thierry
COMBUSTION AND FLAME, 2015, 162 (01) : 60 - 67
[9] Odd viscous flow past a sphere at low but non-zero Reynolds numbers
Lier, Ruben
JOURNAL OF FLUID MECHANICS, 2024, 998
[10] A Reilly Inequality for the First Non-zero Eigenvalue of a Class of Operators on Riemannian Manifold
Chen, Qun
Shi, Jianghai
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2018, 49 (03): : 481 - 493

← 1 2 3 4 5 →