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Alternanten Bei Gelchmässiger Approximation Mit Zweidimensionalen Splinefunktionen

Part of the Lecture Notes in Mathematics book series (LNM,volume 501)

Abstract

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.

Keywords

  • Spline Function
  • Special Subspace
  • Dann Gilt
  • P61ya Frequency

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1976 Springer-Verlag

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Sommer, M. (1976). Alternanten Bei Gelchmässiger Approximation Mit Zweidimensionalen Splinefunktionen. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079755

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  • DOI: https://doi.org/10.1007/BFb0079755

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  • Print ISBN: 978-3-540-07543-1

  • Online ISBN: 978-3-540-38073-3

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