Bookcover of Topics on Hlf-Discrete Hilbert-Type Inequalities
Booktitle:

Topics on Hlf-Discrete Hilbert-Type Inequalities

LAP LAMBERT Academic Publishing (2013-09-13 )

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ISBN-13:

978-3-659-46228-3

ISBN-10:
3659462284
EAN:
9783659462283
Book language:
English
Blurb/Shorttext:
In 1908, H. Wely published the well known Hilbert’s inequality. In 1925, G. H. Hardy gave an extension of it by introducing one pair of conjugate exponents. The Hilbert-type inequalities are a more wide class of Analysis inequalities including Hardy-Hilbert’s inequality as the particular case. By making a great effort of the author et al in the world, the theory of Hilbert-type inequalities has now come into being. This book is a monograph about the topics on half-discrete Hilbert-type inequalities. Using the methods of Real Analysis, the author introduces a few independent parameters to obtain the weight functions. Some multiple half-discrete Hilbert-type inequalities with the best possible constant factors are established. The equivalent forms and the reverses are also provided. The author also considers some double inequalities, a few cases of particular kernels, and a large number of examples. For reading this book, readers should hold the basic knowledge of Real Analysis. This book is suited to the people who are interested in the field of Analysis inequalities. The author expects this book can help readers to make good progresses in research for Hilbert-type inequalities.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Bicheng Yang
Number of pages:
140
Published on:
2013-09-13
Stock:
Available
Category:
Mathematics
Price:
44.90 €
Keywords:
Parameter, Weight function, Equivalent form, half-discrete Hilbert-type inequality, best constant factor

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