Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures
نویسندگان
چکیده
In this paper we shall be mainly concerned with sequences of orthogonal Laurent polynomials associated with a class of strong Stieltjes distributions introduced by A.S. Ranga. Algebraic properties of certain quadratures formulae exactly integrating Laurent polynomials along with an application to estimate weighted integrals on [−1, 1] with nearby singularities are given. Finally, numerical examples involving interpolatory rules whose nodes are zeros of orthogonal Laurent polynomials are also presented.
منابع مشابه
Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation
Starting from a strong Stieltjes distribution φ, general sequences of orthogonal Laurent polynomials are introduced and some of their most relevant algebraic properties are studied. From this perspective, the connection between certain quadrature formulas associated with the distribution φ and two-point Padé approximants to the Stieltjes transform of φ is revisited. Finally, illustrative numeri...
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عنوان ژورنال:
- Math. Comput.
دوره 75 شماره
صفحات -
تاریخ انتشار 2006