Characterization of Positive Quadrature Formulas

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1981 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 12, pages 935-942 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Peherstorfer, Franz;

doi: 10.1137/0512079

Characterization of Positive Quadrature Formulas

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Abstract

We give a complete description of those numerical integration formulas based on n nodes which have positive weights and are exact for polynomials of degree equal or less than $2n - 1 - m$, where $0 \leqq m \leqq n$.

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Numerical integration, Numerical quadrature and cubature formulas, orthogonal polynomials, Approximate quadratures

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