Abstract
The positivity of certain finite sums of even ultraspherical polynomials has been identified by Askey as a specially interesting case of a more general problem concerning positivity of Cotes numbers at Jacobi abscissas. The authors establish several new inequalities of this type.
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This research was supported by a grant from the Australian Research Council.
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Brown, G., Koumandos, S. & Wang, KY. Positivity of Cotes numbers at more Jacobi abscissas. Monatshefte für Mathematik 122, 9–19 (1996). https://doi.org/10.1007/BF01298452
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DOI: https://doi.org/10.1007/BF01298452