By applying the method of weight function and techniques from Real Analysis, a Hilbert-type inequality depending upon a multi-parameter with a best constant factor is studied. The best constant is formulated in terms of a hypergeometric function. Furthermore, the inverse inequality is studied.
"On a Hilbert-Type Inequality with a Hypergeometric Function." Commun. Math. Anal. 9 (1) 84 - 92, 2010.