13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.MR#: MR2480082Zbl#: Zbl pre05602092In the present paper, we obtain quadrature rules for Bernstein measures on [-1, 1], having a fixed number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients.The first three authors were partially supported by Ministerio de Educación y Ciencia under grant number MTM2005-01320. The fourth author was partially supported by Ministerio de Educación y Ciencia under grant number MTM2006-13000-C03-02 and project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid and Universidad Carlos III de Madrid.Publicad
We present a relation between rational Gauss-type quadrature formulas that approximate integrals of ...
In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....
AbstractMaking use of the connection between quadrature formulas on the unit circle and the interval...
13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.MR#: MR2480082Zbl#: Zbl pre05602092In the presen...
AbstractIn the present paper we characterize the measures on the unit circle for which there exists ...
11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.MR#: MR2335810 (2008i:33038)Zbl#: Zbl 112...
24 pages, no figures.-- MSC2000 codes: 33C47, 42C05.-- Dedicated to Professor Dr. Mariano Gasca with...
25 pages, no figures.-- MSC2000 codes: 41A55; 33C45.MR#: MR1933236 (2003k:65022)Zbl#: Zbl 1013.41015...
AbstractLet μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estim...
In this paper, the algebraic construction of quadrature formulas for weigh- ted periodic integrals ...
AbstractGauss-type quadrature rules with one or two prescribed nodes are well known and are commonly...
AbstractWe establish a relation between Gauss quadrature formulas on the interval [−1,1] that approx...
AbstractIn this paper, the construction of orthogonal bases in the space of Laurent polynomials on t...
AbstractThe paper considers the mutual relationship of oscillations of the Bernstein–Szegö orthogona...
AbstractThis paper presents two main results. The first result pertains to uniform approximation wit...
We present a relation between rational Gauss-type quadrature formulas that approximate integrals of ...
In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....
AbstractMaking use of the connection between quadrature formulas on the unit circle and the interval...
13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.MR#: MR2480082Zbl#: Zbl pre05602092In the presen...
AbstractIn the present paper we characterize the measures on the unit circle for which there exists ...
11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.MR#: MR2335810 (2008i:33038)Zbl#: Zbl 112...
24 pages, no figures.-- MSC2000 codes: 33C47, 42C05.-- Dedicated to Professor Dr. Mariano Gasca with...
25 pages, no figures.-- MSC2000 codes: 41A55; 33C45.MR#: MR1933236 (2003k:65022)Zbl#: Zbl 1013.41015...
AbstractLet μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estim...
In this paper, the algebraic construction of quadrature formulas for weigh- ted periodic integrals ...
AbstractGauss-type quadrature rules with one or two prescribed nodes are well known and are commonly...
AbstractWe establish a relation between Gauss quadrature formulas on the interval [−1,1] that approx...
AbstractIn this paper, the construction of orthogonal bases in the space of Laurent polynomials on t...
AbstractThe paper considers the mutual relationship of oscillations of the Bernstein–Szegö orthogona...
AbstractThis paper presents two main results. The first result pertains to uniform approximation wit...
We present a relation between rational Gauss-type quadrature formulas that approximate integrals of ...
In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....
AbstractMaking use of the connection between quadrature formulas on the unit circle and the interval...