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Positivity of the Cotes Numbers for Some Ultraspherical Abscissas

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Publication:5555823
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DOI10.1137/0705016zbMath0169.08301OpenAlexW2015046197MaRDI QIDQ5555823

J. Fitch, Richard Askey

Publication date: 1968

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0705016


zbMATH Keywords

approximation and series expansion



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Some positive Cotes numbers for the Chebyshev weight function ⋮ New interpolatory quadrature formulae with Gegenbauer abscissae. ⋮ The number of positive weights of a quadrature formula ⋮ On the positivity of quadrature formulas with Jacobi abscissas ⋮ Moments in quadrature problems ⋮ Some Positive Trigonometric Sums ⋮ On the positivity of Cotes numbers for interpolatory quadratures with Jacobi abscissas ⋮ Summability of Jacobi Series ⋮ Dual equations and classical orthogonal polynomials ⋮ On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas ⋮ Positivity of the Cotes numbers for some Jacobi abscissas ⋮ On the positivity of certain Cotes numbers



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