Paper Info
Title
Multi-node higher order expansions of a function
Abstract
By using the values and higher derivatives of a function at the given nodes, a kind of multinode higher order expansion of the function is presented. The error terms of the expansions are given. Particular examples are the extensions of the Taylor polynomials, Bernstein polynomials and Lagrange interpolation polynomials. The expansions are numerical approximation polynomials and very useful particular for the functions for which the higher derivatives can be obtained easily.
Year
DOI
Venue
2003
10.1016/j.jat.2003.08.001
Journal of Approximation Theory
Keywords
DocType
Volume
bernstein polynomial
Journal
124
Issue
ISSN
Citations 
2
0021-9045
7
PageRank 
References 
Authors
1.94
0
1
Name
Order
Citations
PageRank
Xuli Han115922.91