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On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas

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Publication:1824790
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DOI10.1007/BF01839490zbMath0683.41039MaRDI QIDQ1824790

G. Sottas

Publication date: 1989

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137311


zbMATH Keywords

Jacobi polynomialinterpolatory quadrature formula


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)




Cites Work

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  • Some positive Cotes numbers for the Chebyshev weight function
  • The number of positive weights of a quadrature formula
  • On the positivity of quadrature formulas with Jacobi abscissas
  • On the positivity of certain Cotes numbers
  • Positive Sums of the Classical Orthogonal Polynomials
  • Stability Criteria for Implicit Runge–Kutta Methods
  • Positivity of the Cotes Numbers for Some Ultraspherical Abscissas
  • On Mechanical Quadratures, In Particular, with Positive Coefficients


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