Publications de l’Institut Mathématique, Nouvelle Série Vol. 102[116], pp. 231–240 (2017) 

Refinements of some limit Hardytype inequalities via superquadracityJames Adedayo Oguntuase, LarsErik Persson, Olabiyi Olanrewaju Fabelurin, Abdullaziz G. AdeagboSheikhDepartment of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria; Department of Mathematics, Luleå University of Technology, Luleå, Sweden; UiT The Arctic University of Norway, Narvik, Norway; Department of Mathematics, Obafemi Awolowo University, IleIfe, NigeriaAbstract: Refinements of some limit Hardytype inequalities are derived and discussed using the concept of superquadracity. We also proved that all three constants appearing in the refined inequalities obtained are sharp. The natural turning point of our refined Hardy inequality is $p=2$ and for this case we have even equality. Keywords: Hardytype inequalities, superquadratic functions, sharp constants, weight functions Classification (MSC2000): 34A34; 34D20; 34D23; 34D99 Full text of the article: (for faster download, first choose a mirror)
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