Orthogonal polynomials : computation and approximation - Gautschi, Walter (Oxford ; New York : Oxford University Press, 2004)
Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel polynomials -- Sobolev orthogonal polynomials -- Orthogonal polynomials on the semicircle -- Notes to Chapter 1 -- Computational methods: Moment-based methods -- Discretization methods -- Computing Cauchy integrals of orthogonal polynomials -- Modification algorithms -- Computing Sobolev orthogonal polynomials -- Notes to Chapter 2 -- Applications: Quadrature -- Least squares approximation -- Moment-preserving spline approximation -- Slowly convergent series -- Notes to Chapter 3
Includes bibliographical references and index
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Keywords: Orthogonal polynomials; Polynomes orthogonaux