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Splines in Hilbert Spaces

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Variational Theory of Splines

Abstract

The aim of this chapter is to introduce the main definitions in the abstract variational spline theory and to describe the basic properties of interpolating, smoothing, and mixed abstract splines.

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Bibliography

  • Anselone, P.M., Laurent, P.-J. (1968): “A general method for the construction of interpolating or smoothing spline function” , in Numer. Math. Vol. 12, No. 1, pp. 66–82

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© 2001 Springer Science+Business Media New York

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Bezhaev, A.Y., Vasilenko, V.A. (2001). Splines in Hilbert Spaces. In: Variational Theory of Splines. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3428-7_1

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  • DOI: https://doi.org/10.1007/978-1-4757-3428-7_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3368-3

  • Online ISBN: 978-1-4757-3428-7

  • eBook Packages: Springer Book Archive

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