engleski

Functional inequalities for 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, Hoelder-Rogers, Cauchy-Schwarz, Carlson and Gruess 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.

Bickley function ; Turan type inequality ; complete monotonicity ; integral inequality ; exponential convexity ; log-convexity ; geometrically concave function ; Tur´an determinant ; modified Bessel function of the second kind.

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