Sharp bounds for the ratio of two zeta functions
From MaRDI portal
Publication:2279905
DOI10.1016/j.cam.2019.112359zbMath1472.11233OpenAlexW2963488809WikidataQ127444157 ScholiaQ127444157MaRDI QIDQ2279905
Zhen-Hang Yang, Jing-Feng Tian
Publication date: 16 December 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112359
Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Inequalities involving other types of functions (26D07)
Related Items (32)
Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios ⋮ New inequalities of Wilker's type for circular functions ⋮ Refinements of Huygens- and Wilker-type inequalities ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type ⋮ 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 ⋮ Matrix approach for verification of opacity of partially observed discrete event systems ⋮ Aperiodically intermittent control for exponential bipartite synchronization of delayed signed networks with multi-links ⋮ Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders ⋮ Extensions of Hölder's inequality and its applications in Ostrowski inequality ⋮ Optimal bounds for two Seiffert-like means in exponential type ⋮ Traveling wave solutions of partial differential equations via neural networks ⋮ 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 ⋮ Wilker inequalities of exponential type for circular functions ⋮ 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 ⋮ A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral ⋮ 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
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function
- An explicit formula for Bernoulli polynomials in terms of \(r\)-Stirling numbers of the second kind
- Sharp inequalities for tangent function with applications
- The real zeros of the Bernoulli polynomials
- Two closed forms for the Bernoulli polynomials
- New bounds for the exponential function with cotangent
- Sharpening the Becker-Stark inequalities
- Integral representations of the Riemann zeta function for odd-integer arguments
- A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
- On some inequalities for the Bernoulli numbers
- Sharp bounds for the Bernoulli numbers
- On the concavity of Dirichlet's eta function and related functional inequalities
- On Dirichlet's lambda function
- Dirichlet's eta and beta functions: concavity and fast computation of their derivatives
- Some rapidly converging series for $\zeta (2n+1)$
- Some convexity properties of Dirichlet series with positive terms
- Some families of rapidly convergent series representations for the zeta functions
This page was built for publication: Sharp bounds for the ratio of two zeta functions