| Tartalom: |
http://real.mtak.hu/27184/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Van der Corput inequalities for Bessel functions
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| Létrehozó: |
Baricz, Árpád
Laforgia, Andrea
Pogány, Tibor K.
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| Dátum: |
2014
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| Téma: |
QA74 Analysis / analízis
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| Tartalmi leírás: |
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.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
Baricz, Árpád and Laforgia, Andrea and Pogány, Tibor K. (2014) Van der Corput inequalities for Bessel functions. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 26 (1). pp. 78-87. ISSN 1065-2469
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