Skip to main content

Orthogonal polynomials in monotone and convex interpolation

  • Invited Speakers
  • Conference paper
  • First Online:
Orthogonal Polynomials and their Applications

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

  • 1306 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Google Scholar 

  2. J. Butland, A Method for Interpolating Reasonable-Shaped Curves through Any Data, Proc. of Computer Graphics 80, Online Publication Ltd., Northwood Hills, Middlesex, U.K., 1980, 409–422.

    Google Scholar 

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

    Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  5. F. N. Fritsch and R.E. Carlson, "Monotone Piecewise Cubic Interpolation", SIAM J. Num. Analysis, 17 (1980), 238–246.

    Article  MathSciNet  MATH  Google Scholar 

  6. J.A. Gregory and R. Delbourgo, "Piecewise Rational Quadratic Interpolation to Monotonic Data", IMA Journal of Numerical Analysis, 2 (1982), 123–130.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  8. S. Karlin and W.J. Studden, Tchebycheff Systems: with Appplications in Analysis and Statistics, Interscience Publishers, New York 1966.

    MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  10. G. Szegö, Orthogonal Polynomials, American Mathematical Society Providence, 1939.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Manuel Alfaro Jesús S. Dehesa Francisco J. Marcellan José L. Rubio de Francia Jaime Vinuesa

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19489-7

  • Online ISBN: 978-3-540-39295-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics