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- Adeleke, E.O., et al.
(författare)
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On a new class of Hardy-type inequalities
- 2012
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Ingår i: Journal of inequalities and applications. - 1025-5834 .- 1029-242X. ; 2012:259
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-P\'{o}lya's and P\'{o}lya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.
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