Discrete Hilbert-Type Inequalities

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Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral ...
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Multiple Hilbert-Type Inequalities

Pp. 122-152 (31)

Bicheng Yang

Abstract

In this chapter, by using the technique of real analysis and the way of weight coefficients, we establish some lemmas and obtain two equivalent multiple Hilbert-type in equalities and the reverses with the general homogeneous kernel of real number-degree and some variables, which ar e the best extensions of the corresponding results in Chapter 4. Some particular examples with the best constant factors are considered.

Affiliation:

Guangzhou, Guangdong, P. R. China