Weighted Inequalities of Hardy Type

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Weighted Inequalities of Hardy Type by Alois Kufner, Lars-Erik Persson, Natasha Samko, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alois Kufner, Lars-Erik Persson, Natasha Samko ISBN: 9789813140660
Publisher: World Scientific Publishing Company Publication: June 16, 2017
Imprint: WSPC Language: English
Author: Alois Kufner, Lars-Erik Persson, Natasha Samko
ISBN: 9789813140660
Publisher: World Scientific Publishing Company
Publication: June 16, 2017
Imprint: WSPC
Language: English

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 areas 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.

In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.

Contents:

  • Hardy's Inequality and Related Topics
  • Some Weighted Norm Inequalities
  • The Hardy–Steklov Operator
  • Higher Order Hardy Inequalities
  • Fractional Order Hardy Inequalities
  • Integral Operators on the Cone of Monotone Functions
  • New and Complementary Results

Readership: Postgraduates and researchers in mathematical analysis, engineering, numerical analysis and applied mathematics.
Key Features:

  • 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
  • A new chapter has been added
  • All the other chapters have been updated
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 areas 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.

In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.

Contents:

Readership: Postgraduates and researchers in mathematical analysis, engineering, numerical analysis and applied mathematics.
Key Features:

More books from World Scientific Publishing Company

Cover of the book China Studies in South and Southeast Asia by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book A Modern Course in the Quantum Theory of Solids by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Lectures on Corporate Finance by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Enjoy Writing Your Science Thesis or Dissertation! by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Evidence-Based Acupuncture by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Langevin and FokkerPlanck Equations and their Generalizations by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Mathematics Education in Korea by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Fracture Mechanics of Electromagnetic Materials by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Introduction to Statistical Mechanics by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Crop Biotechnology by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Network Data Mining and Analysis by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Capitalism in the 21st Century by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book An Introduction to the Standard Model of Particle Physics for the Non-Specialist by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Information Spillovers and Market Integration in International Finance by Alois Kufner, Lars-Erik Persson, Natasha Samko
Cover of the book Document Analysis and Text Recognition by Alois Kufner, Lars-Erik Persson, Natasha Samko
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy