Weighted Inequalities Of Hardy Type (Second Edition)

Released on by Lars-erik Persson
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  • Weighted Inequalities Of Hardy Type (Second Edition) Book Detail

  • Author : Lars-erik Persson
  • Release Date : 2017-06-16
  • Publisher : World Scientific Publishing Company
  • Genre : Mathematics
  • Pages : 480
  • ISBN 13 : 9813140666
  • File Size : 3,3 MB
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Weighted Inequalities Of Hardy Type (Second Edition) by Lars-erik Persson PDF Summary

Book 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 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.

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Weighted Inequalities of Hardy Type

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