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Refinements of some limit hardy-Type Inequalities via Superquadracity
(Journal article; Tidsskriftartikkel; Peer reviewed, 2017-11-03)
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.
Time scale Hardy-type inequalities with ‘broken’ exponent p
(Peer reviewed, 2015-01-16)
In this paper, some new Hardy-type inequalities involving ?broken? exponents are derived on arbitrary time scales. Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, complement and provide refinements of some known results in literature