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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Hilbert-Type Inequalities with the General Homogeneous Kernel

Pp. 54-89 (36)

Bicheng Yang

Abstract

In this chapter, Hilbert-type inequalities and the re verses with the general homoge neous kernel of the real number degree and the best constant factors are considered, which are some ex tensions of the results in Chapter 3. By using the improved Euler-Maclaurin summation formula and the technique of real analysis, some particular examples with the best constant factors are given.

Affiliation:

Guangzhou, Guangdong, P. R. China