On interpolation by generalized planar splines I: The polynomial case |
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| Authors: | Dr. G. Walz |
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| Affiliation: | 1. Fakult?t für Mathematik und Informatik, Universit?t Mannheim, D-6800, Mannheim 1, Federal Republic of Germany
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| Abstract: | Complex planar splines were introduced by Opfer and Puri [4] and further investigated by several authors, cf. [3, 5, 6, 8]. These papers were mainly concerned with the properties of piecewise linear or quadratic polynomials. In the present paper polynomial planar splines of arbitrary degree are investigated. Our results are mainly concerned with their interpolatory properties on polygonal regions and contain those of [3, 4, 5] for triangular and rectangular regions as special cases. |
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