Abstract The authors study the error of the product quadrature rules to compute the integral ^1 f( x ) u( x )dx 1−1fxuxdx . Estimates inL 1-weighted norm are established whenu is a weight with algebraic and/or logarithmic singularities and the quadrature points are classical Jacobi zeros. Upper bounds for the generalized functions of second kind are also given.
Error bound for product quadrature rules in L_1-weighted norm / Criscuolo, Giuliana; L., Scuderi. - In: CALCOLO. - ISSN 0008-0624. - STAMPA. - 31:(1995), pp. 73-93. [10.1007/BF02575720]
Error bound for product quadrature rules in L_1-weighted norm
CRISCUOLO, GIULIANA;
1995
Abstract
Abstract The authors study the error of the product quadrature rules to compute the integral ^1 f( x ) u( x )dx 1−1fxuxdx . Estimates inL 1-weighted norm are established whenu is a weight with algebraic and/or logarithmic singularities and the quadrature points are classical Jacobi zeros. Upper bounds for the generalized functions of second kind are also given.File in questo prodotto:
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