engleski

Turán type inequalities for Krätzel functions

Complete monotonicity, Laguerre and Turán type inequalities are established for the so-called Krätzel function $Z_\rho^\nu(u)$, where $u>0$ and $\rho, \nu \in R$. Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Krätzel function.

Krätzel functions; Modified Bessel functions; Turán type inequalities; Complete monotonicity; Vandermonde determinant; Turán determinant; Hoelder and Čebyšev inequalities

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