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Mathematics > Classical Analysis and ODEs

arXiv:1301.5422 (math)
[Submitted on 23 Jan 2013 (v1), last revised 17 Apr 2013 (this version, v2)]

Title:Functional inequalities for the Bickley function

Authors:Árpád Baricz, Tibor K. Pogány
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Abstract:In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, Hölder-Rogers, Cauchy-Schwarz, Carlson and Grüss inequalities, as well as the monotone form of l'Hospital's rule. Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Bickley function.
Comments: 10 pages
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 26A86, 39B62, 39B72
Cite as: arXiv:1301.5422 [math.CA]
  (or arXiv:1301.5422v2 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1301.5422
Journal reference: Mathematical Inequalities and Applications 17(3) (2014) 989-1003

Submission history

From: Arpad Baricz [view email]
[v1] Wed, 23 Jan 2013 08:03:35 UTC (12 KB)
[v2] Wed, 17 Apr 2013 15:27:12 UTC (12 KB)
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