A best possible Hadamard inequality

A. M. Fink
1998 Mathematical Inequalities & Applications  
The classical Hadamard-Hermite inequality requires that the measure be a symmetric and positive. We prove versions which require neither of these conditions. Furthermore, we prove that no such theorems exist with less restrictions than ours, ie. they are best possible. Mathematics subject classification (1991): 26D15, 26D20.
doi:10.7153/mia-01-20 fatcat:y2cycn3q55afvmmh3x5zxwrbqe