Weighted inequalities of Hardy type

By:

Kufner, Alois

Contributor(s):

Publication details: World Scientific Singapore 2017Edition: 2ndDescription: xx, 459 pISBN:

9789813140646

Subject(s):

DDC classification:

515.243 K8W3

Summary: 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. https://www.worldscientific.com/worldscibooks/10.1142/10052

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	Non-fiction	515.243 K8W3 (Browse shelf(Opens below))	Available		197186

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Previous	515.076 S4P7 Problems and solutions for undergraduate analysis	515.1 V2G3 Geometric realizations of curvature	515.15 V2A2 Advanced Calculus	515.243 K8W3 Weighted inequalities of Hardy type	515.2433 A5H2 Hardy spaces on ahlfors-regular quasi metric spaces: a sharp theory	515.2433 C4W2 Wavelet subdivision methods: GEMS for rendering curves and surfaces

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.

https://www.worldscientific.com/worldscibooks/10.1142/10052

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