Skip to main content
SpringerLink
Log in

The least solution for the polynomial interpolation problem

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [BDR] Boor, C de, Dyn, N., Ron, A.: On two polynomial spaces associated with a box spline. Pac. J. Math.147, 249–267 (1991)

    MATH  Google Scholar 

  • [BH] Boor, C. de, Höllig, K.: B-splines from parallelepipeds. J. Anal. Math.42, 99–115 (1982/3)

    Article  Google Scholar 

  • [BR1] Boor, C. de, Ron, A.: On multivariate polynomial interpolation. Constructive Approximation6, 287–302 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  • [BR2] Boor, C. de, Ron, A.: On ideals of finite codimension with applications to box spline theory. J. Math. Anal. Appl.158, 168–193 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  • [BR3] Boor, C. de, Ron, A.: Computational aspects of polynomial interpolation in several variables. Math. Comp. (to appear)

  • [DM] Dahmen, W., Micchelli, C.A.: On the local linear independence of translates of a box spline. Studia Math.82, 243–263 (1985)

    MATH  MathSciNet  Google Scholar 

  • [DR] Dyn, N., Ron, A.: Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. Trans. Am. Math. Soc.319, 381–404 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  • [GM] Gasca, M., Maeztu, J.I.: On Lagrange and Hermite interpolation inR k. Numerische Mathematik39, 361–374 (1982)

    Article  MathSciNet  Google Scholar 

  • [LL] Lorentz, G.G., Lorentz, R.A.: Solvability problems of bivariate interpolation I. Constructive Approximation2 153–169 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  • [NV] Nastasescu, C., Van Oystaeyan, F.: Graded and filtered rings and modules. (Lect. Notes Math, Vol. 758), Berlin Heidelberg New York: Springer 1979.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center of Mathematical Sciences, University of Wisconsin-Madison, 610 Walnut Street, 53705, Madison, WI, USA

    Carl de Boor & Amos Ron

Authors
  1. Carl de Boor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amos Ron
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the National Science Foundation under Grant No. DMS-8701275

Supported by the United States Army under Contract No. DAAL03-87-K-0030

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Boor, C., Ron, A. The least solution for the polynomial interpolation problem. Math Z 210, 347–378 (1992). https://doi.org/10.1007/BF02571803

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571803

Keywords

Search

Navigation