Weighted Inequalities Of Hardy Type Second Edition
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Author | : Alois Kufner |
Publisher | : World Scientific Publishing Company |
Total Pages | : 377 |
Release | : 2003-04-03 |
Genre | : Mathematics |
ISBN | : 9813106085 |
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.
Author | : Alois Kufner |
Publisher | : World Scientific |
Total Pages | : 380 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812381958 |
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.
Author | : Lars-Erik Persson |
Publisher | : |
Total Pages | : 480 |
Release | : 2017 |
Genre | : Electronic books |
ISBN | : 9789813140653 |
Author | : Lars-erik Persson |
Publisher | : World Scientific Publishing Company |
Total Pages | : 480 |
Release | : 2017-06-16 |
Genre | : Mathematics |
ISBN | : 9813140666 |
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.
Author | : Nikolai Kutev |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 158 |
Release | : 2022-10-24 |
Genre | : Mathematics |
ISBN | : 3110980371 |
This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.
Author | : Ravi P. Agarwal |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2016-10-20 |
Genre | : Mathematics |
ISBN | : 3319442996 |
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.
Author | : Anna Wedestig |
Publisher | : |
Total Pages | : 106 |
Release | : 2003 |
Genre | : |
ISBN | : |
Author | : J. García-Cuerva |
Publisher | : Elsevier |
Total Pages | : 615 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0444878041 |
The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
Author | : Kamilu Rauf |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 72 |
Release | : 2012 |
Genre | : Calculus |
ISBN | : 9783659112454 |
Inequalities has become a sufficient tool in sciences especially in mathematical analysis. Hardy, Littlewood and Polya, in 1934, developed an excellent pioneering work in their book entitled ''Inequalities''. Since then, Hardy-type inequalities has received numerous attention of many researchers. The concern of researchers in this area has been to obtain a simpler method of proof to various useful inequalities. Later, weight functions were introduced and the interest was shifted to finding the necessary and sufficient conditions that will guarantee the validity of the inequalities. This monograph provided a simpler approach to the prove of some inequalities related to Hardy using standard methods and is designed to be used either as a textbook for a formal exposition or as a supplementary to all current standard texts on inequalities and mathematics in general.
Author | : Bohumír Opic |
Publisher | : Longman Scientific and Technical |
Total Pages | : 364 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : |