Gaussian quadrature formulas and Laguerre-Perron's equation |
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| Authors: | S El Hajji L Touijrat |
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| Institution: | 1. Departement of Mathematics and data processing, Mohammed V Agdal University, Sciences Faculte, B. P: 1014, Rabat, Morocco
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| Abstract: | LetI(f) be the integral defined by:I(f) = ∫ a b f(x)w(x)dx withf a given function,w a nonclassical weight function and a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value ofI(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme. |
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