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Questions on the functionality operating on polynomials
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Fittind data with shifted Chebyshev polynomials
I am trying to fit data from a simulation to a particular class of polynomials, according to least squares approach.
data = Import["Mathematica file.txt", "Table"]
The polynomials are the shifted Chebyshev … polynomials, that is:
$${\displaystyle T_{n}^{*}(x)=T_{n}(2x-1)~.}$$
How could one use Mathematica to find the coefficients $a_0$, $a_1$ and so on in:
$$\sum_{n=0}^N a_n T_{n}(2x-1)$$
which fits the imported …