Discrete Hilbert-Type Inequalities
Discrete Hilbert-type inequalities including Hilberts inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilberts integral inequality with an independent parameter. In 2004, some new extensions of Hilberts inequality were presented by introducing two pairs of conjugate exponents and additional independent parameters. Since then, a number of new discrete Hilbert-type inequalities have arisen. In this book, the author explains how to use the way of weight coefficients and introduce specific parameters to build new discrete Hilbert-type inequalities and consider some applications. The book is intended to augment the readers understanding of Hilbert-type inequalities.
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