Open Access on electronic versions: https://www.emis.de/journals/PIMB/ Link to publisher's version: https://www.emis.de/journals/PIMB/116/n116p231.pdf Refinements of some limit Hardy-type 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.
