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.
