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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