Approximation power of smooth bivariate PP functions
✍ Scribed by C. de Boor; K. Höllig
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- French
- Weight
- 832 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
## Abstract A real locally convex space is said to be __convenient__ if it is separated, bornological and Mackey‐complete. These spaces serve as underlying objects for a whole theory of differentiation and integration (see [4]) upon which infinite dimensional differential geometry is based (cf. [8]
By using the algorithm of Nfimberger and Riessinger (1995), we construct Hermite interpolation sets for spaces of bivariate splines Sq(d 1 ) of arbitrary smoothness defined on the uniform type triangulations. It is shown that our Hermite interpolation method yields optimal approximation order for q