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On the convergence of interpolating polynomials for entire functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1094)

Keywords

  • Entire Function
  • Polynomial Interpolation
  • Open Convex
  • Triangular Array
  • Cauchy Kernel

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References

  1. T. Bloom Kergin interpolation of entire functions on ℂn, Duke Math. J. 48 (1981) 69–83.

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  2. T. Bloom Polynomial interpolation for entire functions on ℂn, Proc. Symp. Pure Math. (to appear).

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  3. C. de Boor Polynomial interpolation, Proc. Int. Cong. Math., Helsinki (1978), 917–922.

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  4. T.N.T. Goodman and A. Sharma Convergence of multivariate polynomials interpolating on a triangular array (to appear).

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  5. A.O. Gel'fond Calcul des Differences Finies, Dunod, Paris (1963).

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  6. P. Kergin A natural interpolation of Ck functions, J. of Approx. Theory 20 No. 4 (1980) 278–293.

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  7. C. Micchelli and P. Milman A formula for Kergin interpolation in ℝk, J. of Approx. Theory 29 (1980) 294–296.

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  8. L.I. Ronkin Introduction to the Theory of Entire Functions of Several Variables, American Mathematical Society, Providence Rhode Island (1974).

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© 1984 Springer-Verlag

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Bloom, T. (1984). On the convergence of interpolating polynomials for entire functions. In: Amar, E., Gay, R., Van Thanh, N. (eds) Analyse Complexe. Lecture Notes in Mathematics, vol 1094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099150

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  • DOI: https://doi.org/10.1007/BFb0099150

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13886-0

  • Online ISBN: 978-3-540-39096-1

  • eBook Packages: Springer Book Archive