Some positive Cotes numbers for the Chebyshev weight function

DOI10.1007/BF02189344zbMath0457.41028MaRDI QIDQ1150777

Charles A. Micchelli

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/182420

zbMATH Keywords

quadrature ruleultraspherical polynomial

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Moments in quadrature problems, Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas, On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas, On the positivity of certain Cotes numbers, On an extremal problem for nonnegative trigonometric polynomials and the characterization of positive quadrature formulas with Chebyshev weight function

Cites Work

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• Positivity of the Cotes numbers for some Jacobi abscissas
• Positivity of the Cotes Numbers for Some Ultraspherical Abscissas
• Norm Bounds of Quadrature Processes