Alternanten Bei Gelchmässiger Approximation Mit Zweidimensionalen Splinefunktionen

  • Manfred Sommer
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 501)


In this paper the problem of approximating on special subspaces of ℝ2 a given continous real function f in the uniform norm by spline functions with fixed knots is considered. The spline functions are tensor products of B-splines. Using alternation lattices one gets sufficient conditions for the existence and uniquenness of a minimal solution. On halfdiscrete subspaces of ℝ2 also necessary conditions are given.


Spline Function Special Subspace Dann Gilt P61ya Frequency 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Manfred Sommer
    • 1
  1. 1.Institut für Angewandte Mathematik der Universität Erlangen-NürnbergErlangen

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