Quasi-interpolatory splines based on Schoenberg points

Demichelis, V.

doi:10.1090/S0025-5718-96-00728-4

Quasi-interpolatory splines based on Schoenberg points
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Math. Comp. 65 (1996), 1235-1247 Request permission

Abstract:

By using the Schoenberg points as quasi-interpolatory points, we achieve both generality and economy in contrast to previous sets, which achieve either generality or economy, but not both. The price we pay is a more complicated theory and weaker error bounds, although the order of convergence is unchanged. Applications to numerical integration are given and numerical examples show that the accuracy achieved, using the Schoenberg points, is comparable to that using other sets.

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