Weighted Inequalities Of Hardy Type (Second Edition)
Jun 2017 · World Scientific Publishing Company
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480
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About this ebook
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.
About the author
Alois Kufner (Academy of Sciences, Czech Republic & University of West Bohemia, Czech Republic & RUDN University, Russia);Lars-Erik Persson (Luleå University of Technology, Sweden & UiT, The Arctic University of Norway, Norway & RUDN University, Russia);Natasha Samko (Luleå University of Technology, Sweden)
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