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Discrete Hilbert-Type Inequalities

Discrete Hilbert-Type Inequalities

Paperback

General Mathematics

ISBN10: 1608053318
ISBN13: 9781608053315
Publisher: Bentham Science Pub
Published: Feb 15 2018
Pages: 160
Weight: 1.17
Height: 0.42 Width: 8.50 Depth: 11.00
Language: English
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 inequality with an independent parameter. In 2004, some new extensions of Hilbert's 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 reader's understanding of Hilbert-type inequalities.

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General Mathematics