Inequalities for modified Bessel functions and their integrals

Robert Gaunt

doi:10.1016/j.jmaa.2014.05.083

Inequalities for modified Bessel functions and their integrals

Research output: Contribution to journal › Article › peer-review

Abstract

Simple inequalities for some integrals involving the modified Bessel functions Iν(x)Iν(x) and Kν(x)Kν(x) are established. We also obtain a monotonicity result for Kν(x)Kν(x) and a new lower bound, that involves gamma functions, for K0(x)K0(x).

Original language	English
Pages (from-to)	373-386
Journal	Journal of Mathematical Analysis and Applications
Volume	420
Issue number	1
Early online date	2 Jun 2014
DOIs	https://doi.org/10.1016/j.jmaa.2014.05.083
Publication status	Published - 1 Dec 2014

Access to Document

10.1016/j.jmaa.2014.05.083Licence: CC BY

Cite this

@article{99a09e96b0f24b04849e165086f89fd0,

title = "Inequalities for modified Bessel functions and their integrals",

abstract = "Simple inequalities for some integrals involving the modified Bessel functions Iν(x)Iν(x) and Kν(x)Kν(x) are established. We also obtain a monotonicity result for Kν(x)Kν(x) and a new lower bound, that involves gamma functions, for K0(x)K0(x).",

author = "Robert Gaunt",

year = "2014",

month = dec,

day = "1",

doi = "10.1016/j.jmaa.2014.05.083",

language = "English",

volume = "420",

pages = "373--386",

journal = "Journal of Mathematical Analysis and Applications",

issn = "1096-0813",

publisher = "Elsevier BV",

number = "1",

}

TY - JOUR

T1 - Inequalities for modified Bessel functions and their integrals

AU - Gaunt, Robert

PY - 2014/12/1

Y1 - 2014/12/1

N2 - Simple inequalities for some integrals involving the modified Bessel functions Iν(x)Iν(x) and Kν(x)Kν(x) are established. We also obtain a monotonicity result for Kν(x)Kν(x) and a new lower bound, that involves gamma functions, for K0(x)K0(x).

AB - Simple inequalities for some integrals involving the modified Bessel functions Iν(x)Iν(x) and Kν(x)Kν(x) are established. We also obtain a monotonicity result for Kν(x)Kν(x) and a new lower bound, that involves gamma functions, for K0(x)K0(x).

U2 - 10.1016/j.jmaa.2014.05.083

DO - 10.1016/j.jmaa.2014.05.083

M3 - Article

SN - 1096-0813

VL - 420

SP - 373

EP - 386

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Inequalities for modified Bessel functions and their integrals

Abstract

Access to Document

Fingerprint

Cite this