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Refinement of Hardy's inequalities via superquadratic and subquadratic functions |
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| Authors: | James Adedayo Oguntuase Lars-Erik Persson |
| Affiliation: | a Department of Mathematics, University of Agriculture, P.M.B. 2240, Abeokuta, Ogun State, Nigeria b Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden |
| Abstract: | A new refined weighted Hardy inequality for p?2 is proved and discussed. The inequality is reversed for 1<p?2, which means that for p=2 we have equality. The main tool in the proofs are some new results for superquadratic and subquadratic functions. |
| Keywords: | Hardy's inequality Refinement of Hardy's inequalities Dual inequalities Superquadratic functions Subquadratic functions |
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