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Math Help - Help with function reconstruction

  1. #1
    Newbie
    Joined
    Apr 2010
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    1

    Help with function reconstruction

    Hi,

    I'm stuck with this problem to reconstruct a function:

    <br />
\forall i \in 1..N \bigg\{ \begin{array}{l}<br />
f(x_i) = i  \\<br />
f(2*x_i) = g(i)<br />
\end{array}<br />

    I know function g(x) and I would like to get an approximation of f(x). Both f and g are monotonic increasing. Any hint on where to start would be greatly appreciated.

    I don't know if this is the correct forum for this post, so please redirect me to another one if necessary.

    Thanks in advance
    Last edited by neich; April 18th 2010 at 12:27 AM.
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