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The exponential accuracy of Fourier and Chebyshev differencing methods. (English) Zbl 0613.65017
The author proves that for analytic functions the asymptotic decay rate of the error with either the Fourier or Chebyshev differencing is exponential.
Reviewer: P.Narain

MSC:
65D25 Numerical differentiation
42A20 Convergence and absolute convergence of Fourier and trigonometric series
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
65B99 Acceleration of convergence in numerical analysis
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