Series Info:APPLIED MATHEMATICS AND COMPUTATION;Volume: 181 Issue: 2 Pages: 1482-1489
Type:Article
Keywords:University for divided differences
,
Hermite interpolation
,
quadratures
,
cauchy integral
,
finite-part integra
Abstract:
Divided 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 experiments
