Complex measures having quadrature formulae with optimal exactness

DOI10.1007/S10474-009-8236-5zbMath1240.33011OpenAlexW2009840117MaRDI QIDQ653775

Elías Berriochoa, Alicia Cachafeiro, José M. García-Amor

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8236-5

zbMATH Keywords

orthogonal polynomialGaussian quadrature formula\(m\)-point quadrature formulasupport of the measureSzegő quadrature formula

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Characterizing curves satisfying the Gauss-Christoffel theorem
• Some results about numerical quadrature on the unit circle
• Nodal systems with maximal domain of exactness for Gaussian quadrature formulas
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle

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