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

Aleksandra Cižmešija and Josip Pecaric

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-14

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:321290

DOI: 10.1155/S0161171201005816

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