Functional inequalities for the Bickley function

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, H\"older-Rogers, Cauchy-Schwarz, Carlson and Gr\"uss 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.

• Publication year

  2013

• Venue

  arXiv: Classical Analysis and ODEs

• Publication date

  2013-01-23

• Fields of study

  Mathematics

• Identifiers
  DOI 10.7153/MIA-17-72arXiv 1301.5422
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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