I have a black box called $F(t)$ with me where I don't have any information on the exact expression of $F(t)$. But if I supply a $t\ge 0$ I will get a value of $F(t)$ from the black box as output. It is also given that $F(t)$ is non-decreasing and $0\le F(t)\le 1$. I want to fit $F(t)$ against a polynomial of the form $\sum a_{i}t^{i}$. Is there any tool for this where the degree of the polynomial is user-defined (can be very large like 100)?
Fitting a function to a polynomial
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polynomials
approximation
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1Is this going on forever, or is there a finite time $T$ when the process ends? – 2011-11-15
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0Actually, it is going forever but we can approximate it by some maximum t (t for which 1-F(t)<$\epsilon$). – 2011-11-16