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.
SOFO, A. and DRAGOMIR, S. S. (2001) "A Perturbed Version of the Ostrowski Inequality for Twice Differentiable Mappings," Turkish Journal of Mathematics: Vol. 25: No. 3, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol25/iss3/3