Discrete Hilbert-Type Inequalities

Some Innovative Hilbert-Type Inequalities

Author(s): Bicheng Yang

Pp: 90-121 (32)

Doi: 10.2174/978160805242411101010090

* (Excluding Mailing and Handling)

Abstract

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.

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