The Laguerre polynomials {L0(x), L1(x) ...} form an orthogonal set on [0, ∞) and satisfy
Show that the quadrature formula
has degree of precision 2n − 1. [Hint: Follow the steps in the proof of Theorem 4.7.]
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Numerical Analysis
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- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning