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Interpolation by Polynomials and Natural Splines on Normal Lattices

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Multivariate Approximation Theory III

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 75))

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Abstract

In this paper we extend the polynomial interpolation on normal lattices, given. in [2], to tensor product natural spline interpolation of minimum semi-norm.

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References

  1. T.N.T. Goodman, Interpolation in minimum semi-norm and multivariate B-splines, J. Approximation Theory 37 (1983) 212 – 223

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  2. H. Hakopian, Integral reminder formula of the tensor product interpolation, Pull. Ac. Pol.: Math 31 (1983), 267 – 272

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© 1985 Birkhäuser Verlag Basel

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Hakopian, H. (1985). Interpolation by Polynomials and Natural Splines on Normal Lattices. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory III. International Series of Numerical Mathematics, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9321-3_21

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  • DOI: https://doi.org/10.1007/978-3-0348-9321-3_21

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9995-6

  • Online ISBN: 978-3-0348-9321-3

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