Pregled bibliografske jedinice broj: 746433
Van der Corput inequalities for Bessel functions
Van der Corput inequalities for Bessel functions // Integral transforms and special functions, 26 (2015), 1; 78-87 doi:10.1080/10652469.2014.975419 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 746433 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Van der Corput inequalities for Bessel functions
Autori
Baricz, Arpad ; Laforgia, Andrea ; Poganj, Tibor
Izvornik
Integral transforms and special functions (1065-2469) 26
(2015), 1;
78-87
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bessel functions of the first kind ; Modified Bessel functions of the first and second kinds ; Log-convexity ; van der Corput inequality ; Probability density functions ; Trigonometric and hyperbolic functions
Sažetak
In this note, we offer some log-concavity properties of certain functions related to Bessel functions of the first kind and modified Bessel functions of the first and second kinds, by solving partially a recent conjecture on the log- convexity/log-concavity properties for modified Bessel functions of the first kind and their derivatives. Moreover, we give an application of the mentioned results by extending two inequalities of van der Corput to Bessel and modified Bessel functions of the first kind. Similar inequalities are proved also for modified Bessel functions of the second kind, as well as for log-concave probability density functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- 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
