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Orthogonal polynomials in monotone and convex interpolation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1329)

Keywords

  • Convex Hull
  • Orthogonal Polynomial
  • Piecewise Polynomial
  • Convex Polynomial
  • Complete Monotonicity

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References

  1. K.W. Brodlie, A Review of Methods for Curve and Function Drawing, Mathematical Methods in Computer Graphics and design, K.W. Brodlie, ed. Academic Press, London, 1980, 1–37.

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  3. Alan Edelman and Charles A. Micchelli, Admissible Slopes for Monotone and Convex Interpolation, IBM Research Report, 1986.

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  4. F.N. Frisch and J. Butland, "A Method for Constructing Local Monotone Piecewise Cubic Interpolants", SIAM J. Sci. Stat. Comput., 5 (1984), 300–304.

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  7. J.M. Hyman, "Accurate Monotonicity Preserving Cubic Interpolation", SIAM J. Sci. Stat. Comput., 4 (1983), 645–654.

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  9. L.L. Schumaker. "On Shape Preserving Quadratic Spline Interpolation", SIAM J. Num. Analysis, 20 (1983), 854–864.

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© 1988 Springer-Verlag

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Edelman, A., Micchelli, C.A. (1988). Orthogonal polynomials in monotone and convex interpolation. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083351

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  • DOI: https://doi.org/10.1007/BFb0083351

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19489-7

  • Online ISBN: 978-3-540-39295-8

  • eBook Packages: Springer Book Archive