East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
권호 표지
DOI QR코드

DOI QR Code

ON HARDY-BENNETT INEQUALITY

  • Kwon, Ern Gun (Department of Math-Education, Andong National University)
  • Received : 2017.12.11
  • Accepted : 2017.12.13
  • Published : 2018.01.31
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

Acknowledgement

Supported by : Andong National University

References

  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.