On a Sum of Modified Bessel Functions (CROSBI ID 211689)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Baricz, Arpad ; Poganj, Tibor
engleski
On a Sum of Modified Bessel Functions
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 Tur´an type inequalities, lower and upper bounds. Moreover, we point out an error in Kanter’s paper (J Multivariate Anal 6:222–236, 1976).
Modified Bessel functions; Concentration bounds; Functional inequalities.
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Podaci o izdanju
11 (2)
2014.
349-360
objavljeno
1660-5446
10.1007/s00009-013-0365-y