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On the positivity of certain Cotes numbers |
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| Authors: | Martin Kütz |
| Institution: | (1) Lehrstuhl E für Mathematik, Technische Universität Braunschweig, Pockelsstr 14, D-3300 Braunschweig, West Germany |
| Abstract: | It is shown that the Cotes numbers are nonnegative for some interpolatory quadratic rules with nodes at the zeros of the ultraspherical polynomialsC
n
, when integrating with respect to the weight functions wµ(x)=(1–x2)µ–1/2. |
| Keywords: | Primary 41A55 65D30 |
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