On the log-concavity of the fractional integral of the sine function

DOI10.1016/j.jat.2016.06.004zbMath1353.33004OpenAlexW2461219664MaRDI QIDQ738821

Stamatis Koumandos

Publication date: 16 August 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2016.06.004

zbMATH Keywords

trigonometric integralsmonotonicity propertiesfractional integralslogarithmically concave functionsLommel functionsTuran type inequalities

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Exponential and trigonometric functions (33B10)

Related Items (1)

Log-concavity and Turán-type inequalities for the generalized hypergeometric function

Cites Work

• Log-concavity and strong log-concavity: a review
• Positive trigonometric integrals associated with some Lommel functions of the first kind
• Inequalities for quasiconformal mappings in space
• Log-concave probability and its applications
• Turán-Type Inequalities for Some Lommel Functions of the First Kind
• Positive Integrals of Bessel Functions
• Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
• Special Functions for Applied Scientists
• The Sign of Lommel's Function
• On an inequality of P. Turán concerning Legendre polynomials
• What is the Laplace Transform?
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