On some new generalizations of Ostrowski integral inequality

Some new generalizations of Hardy's integral inequality

We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.

On the Ostrowski Type Integral Inequality for Double Integrals

Some generalized Ostrowski-Grüss type integral inequalities

New time scale generalizations of the Ostrowski-Grüss type inequality for k points

Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text]. In addition, we app...

On Bicheng-debnath’s Generalizations of Hardy’s Integral Inequality

We consider Hardy’s integral inequality and we obtain some new generalizations of Bicheng-Debnath’s recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy’s original relation. Moreover, we prove the constant factors involved in the right-hand sides of some particular inequalities from both classes to be the best possible, th...