Browsing by Subject "Trigonometric integrals"
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Article
On the log-concavity of the fractional integral of the sine function
(2016)We prove that the function Fλ(x):=∫0x(x−t)λsintdt is logarithmically concave on (0,∞) if and only if λ≥2. As a consequence, a Turán type inequality for certain Lommel functions of the first kind is obtained. Furthermore, ...