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use the previous result to show... (approximation, analysis) watch

    • Thread Starter

    question 5 here - http://www.dpmms.cam.ac.uk/site2002/...9-10sheet3.pdf

    i really can't see how to use question 4 (which i've done, fine). i can't see how we're going to get a piecewise linear curve like in Q4 from a linear combination of continuous functions, which is presumably what we'd want to do.

    nor can i see where uniqueness would come from??

    I'm not swearing this works, but try defining \phi_n to be the piecewise linear function with \phi_n(q_j) = \delta_{nj} for j=0,...,n.

    It should be obvious how to carry on from there (and I think it works).
    • Thread Starter

    that was so clever it took me 5 minutes to figure out what you even meant. thanks.
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