Abstract
For functionsf analytic in a circle we obtain bounds for the Chebyshev-Fourier coefficients off. These results are then used to obtain bounds for the errors of Gauss-Chebyshev quadratures, and the quadrature formula of Clenshaw and Curtis. Two examples are given to illustrate the error bounds.
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Jayarajan, N. Error estimates for Gauss-Chebyshev and Clenshaw Curtis quadrature formulas. Calcolo 11, 289–296 (1974). https://doi.org/10.1007/BF02575830
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DOI: https://doi.org/10.1007/BF02575830