Turán type inequalities for Krätzel functions

Árpád Baricz, Dragana Jankov, Tibor K. Pogány

Complete monotonicity, Laguerre and Turán type inequalities are established for the so-called Krätzel function $Z_{\rho }^{\nu },$ defined by $$Z_ρ^ν(u)=\int_0^{\infty}t^{ν-1}e^{-t^ρ-\frac{u}…