Description

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.

Weighted Inequalities Of Hardy Type

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Hardback by Alois Kufner , Lars-erik Persson

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Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 04/04/2003
    ISBN13: 9789812381958, 978-9812381958
    ISBN10: 9812381953

    Number of Pages: 376

    Non Fiction , Mathematics & Science , Education

    Description

    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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