Sharp bounds for the ratio of modified Bessel functions
From MaRDI portal
Publication:1679171
DOI10.1007/s00009-017-0971-1zbMath1375.33011OpenAlexW2701010355MaRDI QIDQ1679171
Zhen-Hang Yang, Shen-Zhou Zheng
Publication date: 8 November 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11824/691
monotonicitysharp boundsmodified Bessel functions of the first kind of order \(\nu \)the ratio of modified Bessel functions
Functional inequalities, including subadditivity, convexity, etc. (39B62) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (14)
Monotonicity of the ratio of modified Bessel functions of the first kind with applications ⋮ A family of high order approximations of Ramanujan type for perimeter of an ellipse ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ Convexity of ratios of the modified Bessel functions of the first kind with applications ⋮ Monotonicity of three classes of functions involving modified Bessel functions of the second kind ⋮ Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function ⋮ Sharp inequalities for the generalized elliptic integrals of the first kind ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means ⋮ Explicit unconditionally stable methods for the heat equation via potential theory ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ Convexity and monotonicity involving the complete elliptic integral of the first kind ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
- Bounds for functions involving ratios of modified Bessel functions
- Inequalities involving modified Bessel functions of the first kind. II
- Some inequalities for modified Bessel functions
- Inequalities involving modified Bessel functions of the first kind
- Modified Bessel functions and their applications in probability and statistics
- Problems and theorems in analysis. I. Series, integral calculus, theory of functions. Transl. from the German by Dorothee Aeppli
- A new three-parameter cloud/aerosol particle size distribution based on the generalized inverse Gaussian density function
- Simulating bessel random variables
- Amos-type bounds for modified Bessel function ratios
- Monotonicity criterion for the quotient of power series with applications
- Bounds for Turánians of modified Bessel functions
- On barrelling for a special material in finite elasticity
- Some monotonicity results for ratios of modified Bessel functions
- Rational Bounds for Ratios of Modified Bessel Functions
- Computation of Modified Bessel Functions and Their Ratios
- Bounds for ratios of modifield bessel functions
- On Turán type inequalities for modified Bessel functions
- TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS
- Bounds for modified Bessel functions of the first and second kinds
- Bayesian Approach to Life Testing and Reliability Estimation
- The transmission dynamics of schistosomiasis
- On the Bessel distribution and related problems
This page was built for publication: Sharp bounds for the ratio of modified Bessel functions
