A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applications for general quadrature formulae are also given.

On utilising an identity from [5], some weighted Ostrowski type inequalities are established.

Using some techniques developed by Dragomir and Wang in the recent paper [2] in connection to Ostrowski integral inequality, we point out some approximation results for the Henkel’s transform of absolutely continuous mapping.

Abstract The objective of this article is to incorporate the concept Ostrowski inequality with Atangana–Baleanu fractional integral operator. A novel identity for twice-differentiable functions established after a rigorous investigation several basic definitions and existing ideas related inequalities calculus. Following that, numerous Ostrowski-type are provided based on identity, which uses M...

In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the 'two-point right focal' problem. We use Fink's identity and a new Abel-Gontscharoff-type Green's function for a 'two-point right focal' to generalize the refinement of Jensen's inequality given in (Horváth and Pečarić in Math. Inequal. Appl. 14: 777-791, 2011) from convex function to higher o...