Publications de l'Institut Mathématique, Nouvelle Série Vol. 99(113), pp. 165–175 (2016) 

UMBRAL INTERPOLATIONFrancesco Aldo Costabile, Elisabetta LongoDepartment of Mathematics, University of Calabria, Rende, ItalyAbstract: A general linear interpolation problem is posed and solved. This problem is called \emph{umbral interpolation problem} because its solution can be expressed by a basis of Sheffer polynomials. The truncation error and its bounds are considered. Some examples are discussed, in particular generalizations of Abel–Gontscharoff and central interpolation are studied. Numerical examples are given too. Keywords: Umbral calculus; Sheffer polynomials; interpolation Classification (MSC2000): 11B83; 65F40 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.
© 2016 Mathematical Institute of the Serbian Academy of Science and Arts
