Derivation of the errors involved in Hermite interpolation and their applications to quadrature formulae
Date
2006
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
ELSEVIER SCIENCE INC
Series Info
APPLIED MATHEMATICS AND COMPUTATION;Volume: 181 Issue: 2 Pages: 1482-1489
Scientific Journal Rankings
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
Description
Accession Number: WOS:000242385400070
Keywords
University for divided differences, Hermite interpolation, quadratures, cauchy integral, finite-part integra
Citation
Cited References in Web of Science Core Collection: 8