Pregled bibliografske jedinice broj: 730747
On a Sum of Modified Bessel Functions
On a Sum of Modified Bessel Functions // Mediterranean journal of mathematics, 11 (2014), 2; 349-360 doi:10.1007/s00009-013-0365-y (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 730747 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a Sum of Modified Bessel Functions
Autori
Baricz, Arpad ; Poganj, Tibor
Izvornik
Mediterranean journal of mathematics (1660-5446) 11
(2014), 2;
349-360
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Modified Bessel functions; Concentration bounds; Functional inequalities.
Sažetak
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).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
