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9789812381958

Weighted Inequalities of Hardy Type

by ;
  • ISBN13:

    9789812381958

  • ISBN10:

    9812381953

  • Format: Hardcover
  • Copyright: 2003-06-01
  • Publisher: World Scientific Pub Co Inc
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Supplemental Materials

What is included with this book?

Summary

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.

Table of Contents

Preface
Conventions and Notation
Introductionp. 1
Hardy's Inequality and Related Topicsp. 11
Some Weighted Norm Inequalitiesp. 65
The Hardy-Steklov Operatorp. 119
Higher Order Hardy Inequalitiesp. 165
Fractional Order Hardy Inequalitiesp. 245
Integral Operators on the Cone of Monotone Functionsp. 301
Referencesp. 335
Indexp. 355
Table of Contents provided by Blackwell. All Rights Reserved.

Supplemental Materials

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