The Convergence Rates of Chebyshev Interpolation
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Chebyshev Polynomial, Chebyshev Interpolation, Convergence Rate
Abstract
In this paper we will investigate the convergence of Chebyshev interpolation in terms of Chebyshev polynomials. In particular, if the function f (x) extends to an analytic function in a region bounded by an ellipse, then we may obtain an upper bound on the error of interpolation using zeros and extrema of Chebyshev polynomials.
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References
[1]-Berrut J., Trefethen L., Barycentric Lagrange Interpolation., SIAM Review, (2004).
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[5]-Trefethen L., Six myths of polynomial interpolation and quadrature, Maths. Today 47, (2011).
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