A new type of sharp bounds for ratios of modified Bessel functions
From MaRDI portal
Publication:302078
DOI10.1016/j.jmaa.2016.06.011zbMath1432.33002arXiv1606.02008OpenAlexW2964003575MaRDI QIDQ302078
Diego Ruiz-Antolín, Javier Segura
Publication date: 4 July 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.02008
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (14)
Bounds for modified Struve functions of the first kind and their ratios ⋮ The basic distributional theory for the product of zero mean correlated normal random variables ⋮ On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case ⋮ A first-order Rician denoising and deblurring model ⋮ Simple bounds with best possible accuracy for ratios of modified Bessel functions ⋮ On bounds for the mode and median of the generalized hyperbolic and related distributions ⋮ Trace class Markov chains for the normal-gamma Bayesian shrinkage model ⋮ Inequalities for some integrals involving modified Bessel functions ⋮ Two classical properties of the Bessel quotient 𝐼_{𝜈+1}/𝐼_{𝜈} and their implications in pde’s ⋮ Harmonic extension from the exterior of a cylinder ⋮ Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ Monotonicity and inequalities involving the modified Bessel functions of the second kind ⋮ Harmonic extension through conical surfaces
Uses Software
Cites Work
- Monotonicity properties and bounds for the chi-square and gamma distributions
- On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime
- On bounds for solutions of monotonic first-order difference-differential systems
- Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
- Some inequalities for modified Bessel functions
- An inequality for the Bessel functions of the first kind with imaginary argument
- Amos-type bounds for modified Bessel function ratios
- Bounds for Turánians of modified Bessel functions
- Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum-Saunders kernel estimators
- Geometric ergodicity for Bayesian shrinkage models
- Sharp bounds for cumulative distribution functions
- Rational Bounds for Ratios of Modified Bessel Functions
- Computation of Modified Bessel Functions and Their Ratios
- Optimized Schwarz Methods for the Diffusion-Reaction Problem with Cylindrical Interfaces
This page was built for publication: A new type of sharp bounds for ratios of modified Bessel functions
