A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order >= 1. The procedure is compared with a symbolic moment-based method developed recently by G.V. Milovanović. Numerical examples are provided for illustration.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2016). OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions. Purdue University Research Repository. doi:10.4231/R7NG4NKC
This is a companion piece to the paper Walter Gautschi, "Polynomials orthogonal with respect to cardinal B-spline weight functions", submitted for publication.