591 research outputs found
Functional inequalities involving modified Struve functions
In this paper our aim is to prove some monotonicity and convexity results for
the modified Struve function of the second kind by using its integral
representation. Moreover, as consequences of these results, we present some
functional inequalities (like Tur\'an type inequalities) as well as lower and
upper bounds for modified Struve function of the second kind and its
logarithmic derivative.Comment: 8 page
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.Comment: 10 page
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