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Weighted Inequalities Of Hardy Type
Alois KufnerLars-erik Persson
出版World Scientific Publishing Company, 2003-04-03
主題Mathematics / Mathematical AnalysisScience / Physics / Mathematical & ComputationalMathematics / Differential Equations / General
ISBN98131060859789813106086
URLhttp://books.google.com.hk/books?id=pNU7DQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.