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On Bicheng-Debnath's generalizations of Hardy's integral inequality

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  • Aleksandra CižmeÅ¡ija
  • Josip Pecaric

Abstract

We consider Hardy's integral inequality and we obtain some new generalizations of Bicheng-Debnath's recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy's original relation. Moreover, we prove the constant factors involved in the right-hand sides of some particular inequalities from both classes to be the best possible, that is, none of them can be replaced with a smaller constant.

Suggested Citation

  • Aleksandra CižmeÅ¡ija & Josip Pecaric, 2001. "On Bicheng-Debnath's generalizations of Hardy's integral inequality," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:321290
    DOI: 10.1155/S0161171201005816
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