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# π Weighted inequalities of Hardy type by Alois Kufner, Lars-Erik Persson β free epub

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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.

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- Author:
**Alois Kufner, Lars-Erik Persson** - Year:
**2003** - Publisher:
**World Scientific** - Language:
**English** - ISBN:
**9812381953,9789812381958**

- File size:
**10 054 045** - Format:
**pdf**

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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 conc...

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 inequali...

This provides a discussion of Hardy-type inequalities. They play an important role in various branches of analysis such as approximation theory, differential equations, theory of function spaces etc. The one-dimensional case is dealt with almost completel...

This provides a discussion of Hardy-type inequalities. They play an important role in various branches of analysis such as approximation theory, differential equations, theory of function spaces etc. The one-dimensional case is dealt with almost completel...

Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shann...

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), βThere are three reasons for the study of inequalities: practical, theoretical, and aesthetic.β On the aesthetic aspects, he sai...

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in...

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), βThere are three reasons for the study of inequalities: practical, theoretical, and aesthetic.β On the aesthetic aspects, he sai...

International Mathematical Series Volume 11Around the Research of Vladimir Ma'z'ya IFunction SpacesEdited by Ari Laptev Professor Maz'ya is one of the foremost authorities in various fields of functional analysis and partial differential equations. In par...