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 ...
[view complete introduction]

US $

*(Excluding Mailing and Handling)

Some Innovative Hilbert-Type Inequalities

Pp. 90-121 (32)

Bicheng Yang


In this chapter, based on some theorems of Chapter 4, by using the technique of r eal analysis and applying the improved Euler-Macraurin’s summation formula mentioned in Chapter 2, we discuss how to use some particular parameters to denote some new Hilbert-type inequalities and the reverses with the best constant factors. A class of Hilbert-type inequalities with the general measurable kernels is considered.


Guangzhou, Guangdong, P. R. China