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October 24th, 2011, 04:44 PM  #1 
Newbie Joined: Oct 2011 Posts: 7 Thanks: 0  PROOF HELP NUMERICAL ANALYSIS!!!
(a) Prove that the polynomial of degree n which interpolates f(x) at n+1 distinct points is f(x) itself in case f(x) is a polynomial of degree n. (b) Prove that the kth divided dierence p[x0; x1; : : : ; xk] of a polynomial p(x) of degree k is independent of the interpolation points x0; x1; : : : ; xk. (c) Prove that the kth divided dierence of a polynomial of degree < k is zero. 

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