Authors: James Adedayo Oguntuase, Lars-Erik Persson,
Journal of Mathematical Analysis and Applications
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