Skip to main content
SpringerLink
Log in

On a class of Hermite interpolation problems

  • Published:
Advances in Computational Mathematics Aims and scope Submit manuscript

Abstract

In this paper we characterize sets of solvability of Hermite multivariate interpolation problems with the sum of multiplicities less than or equal to 2n + 1, where n is the degree of the polynomial space.

This can be viewed as a natural generalization of a well-known result of Severi (1921).

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

Similar content being viewed by others

References

  1. H.V. Gevorgian, H.A. Hakopian and A.A. Sahakian, On bivariate Hermite interpolation, Mat. Zametki 48 (1990) 137–139 (in Russian).

    MathSciNet  Google Scholar 

  2. H.V. Gevorgian, H.A. Hakopian and A.A. Sahakian, Multivariate Hermite interpolation, East J. Approx. 3 (1995) 357–371.

    MATH  MathSciNet  Google Scholar 

  3. H.V. Gevorgian, H.A. Hakopian and A.A. Sahakian, On the bivariate Hermite interpolation problem, Constr. Approx. 11 (1995) 23–36.

    Article  MATH  MathSciNet  Google Scholar 

  4. H.A. Hakopian, Regularity of multivariate Hermite interpolation, in: Multivariate Approximation: Recent Trends and Results, eds. W. Haussman, K. Jetter and M. Reimer (Akademie Verlag GmbH, Berlin, 1997) pp. 113–121.

    Google Scholar 

  5. H.A. Hakopian, On the regularity of Hermite multivariate interpolation, J. Approx. Theory (1998, submitted).

  6. R.A. Lorentz, Multivariate Birkhoff Interpolation, Lecture Notes in Mathematics, Vol. 1516 (Springer, 1992).

  7. F. Severi, Vorlesungenüber Algebraische Geometrie (Teubner, Berlin, 1921). (Translation into German – E. Löffler.)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Yerevan State University, Alex Manoukian St. 1, 375049, Yerevan, Armenia, and

    Hakop A. Hakopian

  2. Institute of Mathematics, Gdansk University, Wit Stwosz Str. 57, 80-952, Gdansk, Poland

    Hakop A. Hakopian

Authors
  1. Hakop A. Hakopian
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hakopian, H.A. On a class of Hermite interpolation problems. Advances in Computational Mathematics 12, 303–309 (2000). https://doi.org/10.1023/A:1018933622590

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018933622590

Keywords

Search

Navigation