3 research outputs found
Time scale Hardy-type inequalities with âbrokenâ exponent p
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 literatur
Refinements of some limit hardy-Type Inequalities via Superquadracity
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
Refinements of some limit hardy-Type Inequalities via Superquadracity
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