The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications

Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters

“…In 2016, by using the techniques of real analysis, Hong [20] considered some equivalent statements of the general form of (1) with the homogeneous kernel related to a few parameters and a best possible constant factor. Other similar results about the extended integral inequalities (3) were obtained in [21][22][23][24].…”

On a reverse extended Hardy–Hilbert’s inequality

“…In 2016, by means of the techniques of real analysis, Hong et al [21] considered some equivalent statements of the extensions of (1) with the best possible constant factor related to a few parameters. Similar work about Hilbert-type integral inequalities is in [22][23][24][25][26].…”

On a New Extended Hardy–Hilbert’s Inequality with Parameters

“…In 2016, by means of the technique of real analysis, Hong [20] considered some equivalent statements of the extensions of (1) with the best possible constant factor related to several parameters. For some similar works on the extensions of (3) and (4), we refer the reader to [21][22][23][24][25].…”