East Asian mathematical journal

  • 제34권1호
  • /
  • Pages.17-20
  • /
  • 2018
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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ON HARDY-BENNETT INEQUALITY

  • Kwon, Ern Gun (Department of Math-Education, Andong National University)
  • 투고 : 2017.12.11
  • 심사 : 2017.12.13
  • 발행 : 2018.01.31
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초록

Hardy-Bennett inequality is an inequality of Hardy-type having logarithmic weight. It appeared in 1973, and several generalizations followed. We, in this note, present another generalization with a simple proof.

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과제정보

연구 과제 주관 기관 : Andong National University

참고문헌

  1. G. H. Hardy, Notes on some points in the integral calculus, LXIV. Further inequalities between integrals, Messenger Math. 57 (1928), 12-16.
  2. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2nd ed., Cambridge University Press, 1952.
  3. C. Bennett, Intermediate spaces and the class $Llog^+L$, Ark. Math. 11 (1973), 215-228. https://doi.org/10.1007/BF02388518
  4. Sorina Barza, Lars-Erik Persson and Natasha Samko, Some new sharp limit Hardy-type inequalities via convexity, J. Inequal. App. 2014 (2014), Article ID 6.