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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Introduction

Pp. 1-13 (13)

Bicheng Yang

Abstract

In this chapter, we introduce some evolvements for th e theory and methods of Hilbert-type inequalities, including Hilbert’s inequality. We must emphasize some excellent works on discrete Hilbert-type inequalities and Hilbert-type operators with multi-parameters in recent years, which have made more developments in this context. This chapter will enhance the understanding of the readers of the content of the following several chapters.

Affiliation:

Guangzhou, Guangdong, P. R. China