1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Interpolation, proving P[x_0,x_1, ,x_n] = 0

  1. Oct 31, 2013 #1
    Hi,
    1. The problem statement, all variables and given/known data
    I am asked to show that P[x0,x1,...,xn] = 0 for P(x) [itex]\in[/itex]∏n-1 without directly using the property that the divided difference
    over n+1 nodes is the nth derivative. The hint says to use the formula for the error.

    2. Relevant equations



    3. The attempt at a solution
    I am not quite sure how to approach this. I am familiar with the expression for the error. I am also familiar with Rolle's Theorem, or Mean Value Theorem, but am I allowed/supposed to use that based on the indications in the question?
    I'd appreciate some guidance. Thanks!
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Interpolation, proving P[x_0,x_1, ,x_n] = 0
  1. Proving Uniqueness (Replies: 0)

Loading...