| 1. |
- 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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| 2. |
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| 3. |
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| 4. |
- Oguntuase, James, et al.
(författare)
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Mulitdimensional Hardy type inequalities for p
- 2007
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Ingår i: Journal of Mathematical Inequalities. - : Element d.o.o.. - 1846-579X .- 1848-9575. ; 1:1, s. 1-11
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Tidskriftsartikel (refereegranskat)
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| 5. |
- Oguntuase, James, et al.
(författare)
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On the equivalence between some multidimensional Hardy-type inequalities
- 2014
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Ingår i: Banach Journal of Mathematical Analysis. - : Springer Science and Business Media LLC. - 1735-8787. ; 8:1
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Tidskriftsartikel (refereegranskat)abstract
- We prove and discuss some power weighted Hardy-type inequalities on finite and infinite sets. In particular, it is proved that these inequalities are equivalent because they can all be reduced to an elementary inequality, which can be proved by Jensen inequality. Moreover, the corresponding limit (Pólya-Knopp type) inequalities and equivalence theorem are proved. All constants in these inequalities are sharp.
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| 6. |
- Oguntuase, James, et al.
(författare)
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Refined multidimensional Hardy-type inequalities via superquadracity
- 2008
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Ingår i: Banach Journal of Mathematical Analysis. - : Springer Science and Business Media LLC. - 1735-8787. ; 2:2, s. 129-139
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Tidskriftsartikel (refereegranskat)abstract
- Some new refined multidimensional Hardy-type inequalities for p 2 and their duals are derived and discussed. Moreover, these inequalities hold in the reversed direction when 1 < p 2. The results obtained are based mainly on some new results for superquadratic and subquadratic functions. In particular, our results further extend the recent results in [J.A. Oguntuase and L.-E. Persson, Refinement of Hardy's inequalities via superquadratic and subquadratic functions, J
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