This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: large as n becomes large is to consider the error term for polynomial interpolation = + + = n i i n n x x n f x P x f ) 1 ( ) ( )! 1 ( ) ( ) ( ) ( . As n , it can be shown that ) ( ) ( x P x f n (at some points x in [ 1, 1] ). Note: if the points of interpolation are not constrained to be equally spaced, then it is possible to choose the points of interpolation x i so that ) ( ) ( lim x f x P n n = . However, there is no known rule that indicates how to choose appropriate points of interpolation x i to guarantee such convergence of the interpolating polynomials for arbitrary continuous functions ) ( x f ....
View Full
Document
 Spring '11
 Oadje
 Computer Science

Click to edit the document details