Chebyshev polynomial interpolation
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Calculate the five Chebyshev nodes in the interval [-1,1] which are used when interpolating with a degree four polynomial. Evaluate the function f(x)=2arcsin(x) at each of these points. Construct the degree four Chebyshev polynomial. Evaluate the resulting polynomial at x=0.8 and compare with the actual value of the function.
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Solution Summary
The solution demonstrates how to interpolate a function using Chebyshev polynomials. The resulting polynomials are compared for the actual value of a function.
Solution Preview
Please see the attached file.
I also suggest you check out the following website:
http://math.fullerton.edu/mathews/n2003/ChebyshevPolyMod.html
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