Kufner, Alois.
Weighted inequalities of hardy type [electronic resource] / Alois Kufner, Lars-Erik Persson, Natasha Samko. - 2nd ed. - Singapore : World Scientific Publishing Co. Pte Ltd., ©2017. - 1 online resource (480 p.) : ill.
Includes bibliographical references (p. 437-456) and index.
"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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813140653
Integral inequalities.
Inequalities (Mathematics)
Electronic books.
QA295 / .K883 2017
515/.243
Weighted inequalities of hardy type [electronic resource] / Alois Kufner, Lars-Erik Persson, Natasha Samko. - 2nd ed. - Singapore : World Scientific Publishing Co. Pte Ltd., ©2017. - 1 online resource (480 p.) : ill.
Includes bibliographical references (p. 437-456) and index.
"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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813140653
Integral inequalities.
Inequalities (Mathematics)
Electronic books.
QA295 / .K883 2017
515/.243