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Discrete Hilbert-Type Inequalities

by Bicheng Yang

Bentham Science Publishers

Paperback/Mathematics 159 pages English Feb 15, 2018

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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 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.
Author:
Bicheng Yang
Publisher:
Bentham Science Publishers
Publication Date:
Feb 15, 2018
Number of pages:
159 pages
Language:
English
Binding:
Paperback/Mathematics
ISBN-10:
1608053318
ISBN-13:
9781608053315