Baricz, Árpád and Pogány, Tibor K. (2014) On a Sum of Modified Bessel Functions. Mediterranean Journal of Mathematics, 11 (2). pp. 349-360. ISSN 1660-5446
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Official URL: http://dx.doi.org/10.1007/s00009-013-0365-y
Abstract
In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter’s sharp modified Bessel function bound for concentrations of some sums of independent symmetric random vectors. We present some monotonicity and convexity properties for that sum of modified Bessel functions of the first kind, as well as some Turán type inequalities, lower and upper bounds. Moreover, we point out an error in Kanter’s paper (J Multivariate Anal 6:222–236, 1976).
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Arpad Baricz |
| Date Deposited: | 19 Sep 2014 08:32 |
| Last Modified: | 19 Sep 2014 08:42 |
| URI: | http://real.mtak.hu/id/eprint/15443 |
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