Some integral limits associated with Hilbert transforms—I

Some Integral Inequalities Related to Hilbert ’

We prove some integral inequalities involving the Laplace transform. These are sharper than some known generalizations of the Hilbert integral inequality including a recent result of Yang.

On Multiple Hardy-hilbert Integral Inequalities with Some Parameters

where the constant factor [π/ sin(π/p)]p is also the best possible. Hardy-Hilbert inequalities are important in analysis and in their applications (see [7]). In recent years, many results (see [1, 3, 8–10]) have been obtained in the research of Hardy-Hilbert inequality. At present, because of the requirement of higher-dimensional harmonic analysis and higher-dimensional operator theory, multipl...

On Hardy-hilbert Integral Inequalities with Some Parameters

In this paper, we give a new Hardy-Hilbert’s integral inequality with some parameters and a best constant factor. It includes an overwhelming majority of results of many papers.

Some Refinements of Hilbert-pachpatte Type Integral Inequalities

In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases.

A Hilbert Integral-Type Inequality with Parameters