A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
From MaRDI portal
Publication:1715787
DOI10.1016/j.cam.2018.10.049zbMath1425.11043OpenAlexW2753915270MaRDI QIDQ1715787
Publication date: 29 January 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.20944/preprints201708.0099.v1
Related Items (43)
New approximation inequalities for circular functions ⋮ Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios ⋮ Refinements of Huygens- and Wilker-type inequalities ⋮ Refinements of bounds for the arithmetic mean by new Seiffert-like means ⋮ Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type ⋮ Generalized bounds for sine and cosine functions ⋮ Monotonicity of certain classesof functions related with Cusa - Huygens inequality ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ New Mitrinović-Adamović type inequalities ⋮ Increasing property and logarithmic convexity of two functions involving Dirichlet eta function ⋮ Monotonicities of some functions involving multiple logarithm function and their applications ⋮ Monotonicity results involving the zeta function with applications ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Increasing property and logarithmic convexity of functions involving Dirichlet lambda function ⋮ Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ New sharp inequalities of Mitrinovic-Adamovic type ⋮ From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions ⋮ Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold ⋮ Optimal bounds for two Seiffert-like means in exponential type ⋮ Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean ⋮ New bounds of sinc function by using a family of exponential functions ⋮ New inequalities of Mitrinović-Adamović type ⋮ New Wilker-type and Huygens-type inequalities ⋮ Sharp bounds for the ratio of two zeta functions ⋮ New refinements of Cusa-Huygens inequality ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ New bounds for the ratio of two adjacent even-indexed Bernoulli numbers ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ On the generalized Becker-Stark type inequalities ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Sharp inequalities for hyperbolic functions and circular functions ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions ⋮ The Cusa-Huygens inequality revisited ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant ⋮ A class of strongly completely monotonic functions related to gamma function ⋮ Taylor's series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi ⋮ Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind ⋮ Sharp power mean bounds for the tangent and hyperbolic sine means ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The real zeros of the Bernoulli polynomials
- New sharp bounds for the Bernoulli numbers and refinement of Becker-Stark inequalities
- Derivatives of tangent function and tangent numbers
- Sharpening the Becker-Stark inequalities
- On some inequalities for the Bernoulli numbers
- Recursion formulae for \(\sum_{m=1}^n m^k\)
- Sharp bounds for the Bernoulli numbers
- Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
- Some identities and an explicit formula for Bernoulli and Stirling numbers
- On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic
- Double Series for the Bernoulli and Euler Numbers
- Explicit Formulas for Bernoulli Numbers
- Some identities involving Bernoulli and Stirling numbers.
This page was built for publication: A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers