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  • 274pp. Published April 2020
  • Scientific Research Publishing, Inc.
  • Category: Physics & Mathematics
  • ISBN: 978-1-61896-825-8
  • (Paperback) USD 69.00
  • ISBN: 978-1-61896-826-5
  • (E-Book) USD 19.00

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Home > Books > Parameterized Multidimensional Hilbert-T...
Parameterized Multidimensional Hilbert-Type Inequalities
  • Description
  • E-Book
  • Author(s) Information
Hilbert-type inequalities including Hilbert's inequalities, Hardy-Hilbert-type inequalities and Yang-Hilbert-type inequalities are important in analysis and its applications, which are mainly divided into three classes of integral, discrete and half-discrete. In the last twenty years, there have been many advances in research on Hilbert-type inequalities, especially in Yang-Hilbert-type inequalities. In this book, applying the weight functions, the transfer formula, the parameterized idea and the technique of real analysis and functional analysis, we introduce multi-parameters and provide three kinds of multidimensional Hilbert-type inequalities with the general nonnegative measurable kernels and the best possible constant factors related to the Gamma function. The equivalent forms, the reverses and some Hardy-type inequalities are obtained. Furthermore, we consider the operator expressions with the norm, some particular inequalities and a large number of examples. The theory of multidimensional Hilbert-type inequalities and the operator expressions are built in this book. The lemmas and theorems provide an extensive account of these kinds of inequalities and operators.
Sample Chapter(s)
Preface (50 KB)
Components of the Book:
  • Head Page
  • Copyright
  • Foreword
  • Preface
  • Acknowledgments
  • Contents
  • Chapter 1. Introduction
  • Chapter 2. Multidimensional Hilbert-Type Integral Inequalities
  • Chapter 3. Multidimensional Discrete Hilbert-Type Inequalities and Their Operator Expression
  • Chapter 4. Multidimensional Half-Discrete Hilbert-Type Inequalities
  • References
Readership: Readers who are interested in Parameterized Multidimensional Hilbert-Type Inequalities
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