THEORY ON A MULTI-PARAMETER THREE-DIMENSIONAL HARDY-HILBERT TYPE INTEGRAL INEQUALITY

In 2011, W.T. Sulaiman established an interesting triple integral inequality of the Hardy-Hilbert type, which is expressed using a power-absolute-value-difference kernel function. In this paper, we generalize this inequality by introducing additional parameters. Some of these parameters activate new components and allow for greater adaptability. We provide a rigorous and detailed proof of this generalized inequality, emphasizing the role of each parameter and the beta function in determining the upper bound.