A new approach to Hardy-type inequalities
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  • 作者:Adam Os?kowski
  • 关键词:58E35 ; 26A46 ; Hardy inequality ; Best constants
  • 刊名:Archiv der Mathematik
  • 出版年:2015
  • 出版时间:February 2015
  • 年:2015
  • 卷:104
  • 期:2
  • 页码:165-176
  • 全文大小:223 KB
  • 参考文献:1. Bliss G.: An integral inequality. J. London. Math. Soc. 5, 40-6 (1930) CrossRef
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    3. Hardy G. H., Littlewood J. E.: Notes on the theory of series (XII): On certain inequalities connected with calculus of variations. J. London Math. Soc. 5, 34-9 (1930) CrossRef
    4. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, 2nd edn. (Cambridge University Press, 1952).
    5. Kufner A., Maligranda L., Persson L. E.: The Prehistory of the Hardy Inequality. Amer. Math. Monthly 113, 715-32 (2006) CrossRef
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    11. D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Inequalities Involving Functions and Their Derivatives, Kluwer Acad. Publishers, Dordrecht-Boston-London, 1991.
    12. Nazarov F.L., Treil S.R.: The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis. St. Petersburg Math. J. 8, 721-24 (1997)
    13. A. Os?kowski, Sharp martingale and semimartingale inequalities, Monografie Matematyczne 72 (2012), Birkh?user Basel.
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  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Mathematics
  • 出版者:Birkh盲user Basel
  • ISSN:1420-8938
文摘
We introduce a new method which can be used to establish sharp Hardy-type inequalities on the positive halfline. As an illustration, we present a new proof of a classical result due to Bliss.

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