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    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.

    © BrainMass Inc. brainmass.com June 3, 2020, 5:19 pm ad1c9bdddf
    https://brainmass.com/statistics/probability-theory/chebyshev-polynomial-interpolation-21409

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    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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    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.

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