Abstract
We show that, for the Chebyshev weight function (1−x 2)−1/2, the Cotes numbers for the quadrature rule with nodes at the zeros of the ultraspherical polynomialP /(λ) n are nonnegative if and only if −1/2<λ≤1.
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Micchelli, C.A. Some positive cotes numbers for the chebyshev weight function. Aeq. Math. 21, 105–109 (1980). https://doi.org/10.1007/BF02189344
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DOI: https://doi.org/10.1007/BF02189344