The lifting of polynomial traces revisited

Christine Bernardi, Monique Dauge and Yvon Maday

We construct a lifting operator of polynomial traces on an interval that is stable in appropriate Sobolev norms. Next we extend this result to the case of traces vanishing at the endpoints of the interval. This has two applications, the interpolation of polynomial spaces and the evaluation by discrete formulas of fractional order Sobolev norms on polynomials.

Preprint IRMAR 08-08,
Preprint Laboratoire Jacques-Louis Lions R08007.
Paris, Rennes, January 2008

Math. Comp. 79 (269), Jan 2010, pages 47-69.

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