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Weak descartes systems in generalized spline spaces

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Abstract

A class of generalized spline spaces is introduced for which a basis of functions with local support is constructed by using a recursion relation. It is shown that this basis forms a weak Descartes system. Moreover, an interpolation property is given.

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Authors and Affiliations

  1. Math.-Geograph. Fakultät, Kath. Universität Eichstatt, Ostenstrasse 26-28, 8078, Eichstätt, F.R.G.

    Manfred Sommer

  2. Institut für Angewandte Mathematik, Universität Erlangen, Martensstrasse 3, 8520, Erlangen, F.R.G.

    Hans Strauss

Authors
  1. Manfred Sommer
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  2. Hans Strauss
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Communicated by: Larry Schumaker.

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Sommer, M., Strauss, H. Weak descartes systems in generalized spline spaces. Constr. Approx 4, 133–145 (1988). https://doi.org/10.1007/BF02075454

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  • DOI: https://doi.org/10.1007/BF02075454

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