A special recursive algorithm is built by a three-term recursive formula with coefficients evaluated by the moments method. A new functional c(·) is studied over any function space that contains the polynomial space and it is shown that such a functional is positive definite, enabling us to use the advantages of such a property on the zeros of orthogonal polynomials for such a functional. A comparison is presented of the numerical advantages of such a method with respect to the Laguerre polynomials.

A Recursive algorithm by the moments method to evaluate a class of numerical integrals over an infinite interval / M., MORANDI CECCHI; Pirozzi, Enrica. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 10:(1995), pp. 155-165. [10.1007/BF02198301]

A Recursive algorithm by the moments method to evaluate a class of numerical integrals over an infinite interval

PIROZZI, ENRICA
1995

Abstract

A special recursive algorithm is built by a three-term recursive formula with coefficients evaluated by the moments method. A new functional c(·) is studied over any function space that contains the polynomial space and it is shown that such a functional is positive definite, enabling us to use the advantages of such a property on the zeros of orthogonal polynomials for such a functional. A comparison is presented of the numerical advantages of such a method with respect to the Laguerre polynomials.
1995
A Recursive algorithm by the moments method to evaluate a class of numerical integrals over an infinite interval / M., MORANDI CECCHI; Pirozzi, Enrica. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 10:(1995), pp. 155-165. [10.1007/BF02198301]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/158126
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