Ashour, S. A.Ahmed, H. M.2019-11-182019-11-182006Cited References in Web of Science Core Collection: 80096-3003https://doi.org/10.1016/j.amc.2006.02.046https://cutt.ly/KeJJEYNAccession Number: WOS:000242385400070Divided differences are presented to derive closed-form for the error involved in Hermite interpolation formulae for the class of functions, which need not be sufficiently differentiable. As applications of these formulae the error estimates in the known Gaussian quadrature formulae for regular and singular integrals are taken up. Some examples are considered for numerical experimentsenUniversity for divided differencesHermite interpolationquadraturescauchy integralfinite-part integraArticlehttps://doi.org/10.1016/j.amc.2006.02.046