Abstract
A stable and efficient discretization procedure is developed to compute the recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal spline of order m ≥ 1. The procedure is compared with a symbolic moment-based method developed recently by G. V. Milovanović. Numerical examples are provided for illustration.
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Milovanović, G.V.: Symbolic numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline. to appear
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Gautschi, W. Polynomials orthogonal with respect to cardinal B-spline weight functions. Numer Algor 76, 1099–1107 (2017). https://doi.org/10.1007/s11075-017-0298-9
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DOI: https://doi.org/10.1007/s11075-017-0298-9