https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 A generalization of Young's ℓ<sup>p</sup> inequality https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13103 Ni αi, the function [formula cannot be replicated] has a convex conjugate of the same form and so, in particular, obtain a clean proof that f is convex.]]> Wed 24 Jul 2013 22:23:42 AEST ]]> A class of exponential inequalities https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14690 i with Σxi ≥0 , the estimate Σxi exi ≥ CN/N Σ x²/i holds, where CN = max{2, e (1 − 1/N)} . We also prove analogues for the 1-norm and for Lebesgue-integrable functions.]]> Sat 24 Mar 2018 08:19:10 AEDT ]]> Uniform bounds for the complementary incomplete gamma function https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12968 c|a − 1|} with a real and z complex. Our results show that within the hyperboloid, |Г(a, z)| is of order |z|a−1e−Re(z), and extends an upper estimate of Natalini and Palumbo to complex values of z.]]> Sat 24 Mar 2018 08:14:42 AEDT ]]>