Positive interpolatory quadrature formulas and para-orthogonal polynomials

Adhemar Bultheel, Leyla Daruis, Pablo González-Vera

Type: Article

Publication Date: 2004-12-10

Citations: 16

DOI: https://doi.org/10.1016/j.cam.2004.09.037

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Locations

Journal of Computational and Applied Mathematics - View

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Works That Cite This (13)

Action	Title	Year	Authors
+ PDF Chat	On a spectral theorem in paraorthogonality theory	2016	K. Castillo Ruymán Cruz‐Barroso Francisco Perdomo-Pío
+ PDF Chat	On a spectral theorem in paraorthogonality theory	2016	K. Castillo Ruymán Cruz‐Barroso Francisco Perdomo-Pío
+	Orthogonality, interpolation and quadratures on the unit circle and the interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si58.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>[</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math>	2009	Ruymán Cruz‐Barroso Pablo González-Vera Francisco Perdomo-Pío
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+	An application of Szegő polynomials to the computation of certain weighted integrals on the real line	2009	Ruymán Cruz‐Barroso Pablo González-Vera Francisco Perdomo-Pío
+	Rational approximants associated with measures supported on the unit circle and the real line	2011	Ruymán Cruz‐Barroso Pablo González-Vera Francisco Perdomo-Pío
+ PDF Chat	Rational Szegő quadratures associated with Chebyshev weight functions	2008	Adhemar Bultheel Ruymán Cruz‐Barroso Karl Deckers Pablo González-Vera
+	Szegő–Lobatto quadrature rules	2006	Carl Jagels Lothar Reichel
+	Quadratures and orthogonality associated with the Cayley transform	2014	Pablo González-Vera Francisco Perdomo-Pío Michael Stessin
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Works Cited by This (12)

Action	Title	Year	Authors
+	On the Convergence of Quadrature Formulas for Complex Weight Functions	1995	Pablo González-Vera Gustavo V. López R. Orive J.C. Santos
+	A Two-Parameter Family of Orthogonal Polynomials with Respect to a Jacobi-Type Weight on the Unit Circle	1999	Christer Glader
+	Some results about numerical quadrature on the unit circle	1996	Pablo González-Vera J.C. Santos-León Olav Njåstad
+	Szegö polynomials and quadrature formulas on the unit circle	2001	Leyla Daruis Pablo González-Vera
+	Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle	1989	William B. Jones Olav Njåstad W. J. Thron
+	Approximate Calculation of Integrals	1964	Seymour Haber V. I. Krylov
+	Quadrature formulas associated with rational modifications of the Chebyshev weight functions	2006	L. Darius Pablo González-Vera M. Jiménez Paiz
+ PDF Chat	Szegö quadrature formulas for certain Jacobi-type weight functions	2001	Leyla Daruis Pablo González-Vera Olav Njåstad
+	Polynomials orthogonal on a circle and interval	1960	Я. Л. Геронимус D. E. Brown I. N. Sneddon
+ PDF Chat	A connection between quadrature formulas on the unit circle and the interval [−1,1]	2001	Adhemar Bultheel Leyla Daruis Pablo González-Vera