Talk:Chebyshev coefficients: Difference between revisions

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* Coefficients of Chebyshev polynomials of first and second kind
* Compute the projection of a function on the Chebyshev basis, with scalar product defined by <math>(f|g)=\int_{-1}^{1}\dfrac{f(x)g(x)}{\sqrt{1-x^2}}\;\mathrm{d}x</math>.
* Given a polynomial in the basis <math>\{x^n,n\in\Bbb{N}\}</math>, rewrite it in the Chebyshev basis, leading to *''Chebyshev economization*''.
* Find the optimal approximation of a function on a given interval. This problem is related to the *''Chebyshev equioscillation theorem*''.
* Find the interpolating polynomial of a function at *''Chebyshev nodes*'' (roots of Chebyshev polynomials), which often leads to a better approximation than equispaced nodes.
 
The task has to be clarified.
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