Discrete Hilbert-Type Inequalities

Indexed in: Scopus

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


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.


Guangzhou, Guangdong, P. R. China