Hilbert-Type Integral Inequalities

5 Multiple Hilbert-Type Integral Inequalities

Author(s): Bicheng Yang

Pp: 84-105 (22)

Doi: 10.2174/978160805055010901010084

* (Excluding Mailing and Handling)

Abstract

In this chapter, we establish some lemmas and obtain two equivalent multiple Hilbert-type integral inequalities with the homogeneous kernels of real number-degree and the reverses, which are the best extensions of the corresponding results in Chapter 2. As applications, two equivalent multiple integral inequalities with the non-homogeneous kernels, two classes of multiple Hardy-type integral inequalities and some particular examples are also considered.

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