81 research outputs found
New quadrature rules for Bernstein measures on the interval [-1,1]
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
A note on hermite-fejér interpolation for the unit circle
AbstractIn this note, an extension to the unit circle of the classical Hermite-Fejér Theorem is given
Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results
This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses
Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results
This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples
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