On the positivity of quadrature formulas with Jacobi abscissas

DOI10.1007/BF02254853zbMath0499.65007OpenAlexW359117197MaRDI QIDQ1171862

G. Sottas

Publication date: 1982

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02254853

zbMATH Keywords

positive quadrature formulasJacobi abscissas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Moments in quadrature problems ⋮ On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas

Cites Work

• The number of positive weights of a quadrature formula
• On the positivity of Cotes numbers for interpolatory quadratures with Jacobi abscissas
• Mechanische Quadraturen mit positiven Cotesschen Zahlen
• Positivity of the Cotes numbers for some Jacobi abscissas
• Positivity of the Cotes Numbers for some Jacobi Abscissas—II
• Positivity of the Cotes Numbers for Some Ultraspherical Abscissas
• On Mechanical Quadratures, In Particular, with Positive Coefficients

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