Skip to main content
Log in

On a problem of (0,2)-interpolation

  • Published:
Approximation Theory and its Applications

Abstract

The object in this paper is to consider the problem of existence, uniqueness, explicit representation of (0,2)-interpolation on the zeros of (1−x2)Pn−1(x)/x when n is odd, where Pn−1 denotes Legendre polynomial of degreen−1, and the problem of convergence of interpolatory polynomials.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Suranyi, J. and Turán, P., Notes on Interpolation. I, Acta Math. Acad. Sci. Hungar. 6(1955).

  2. Balázs, J. and Turán, P., Notes on Interpolation. II: Explicit Formulae; III: Convergence; IV: Inequalities, Acta Math. Acad. Sci. Hungar. 8(1957), 9(1958).

    Google Scholar 

  3. Saxena, R. B., On Modified (0,2)-Interpolation, Acta Math. Acad. Sci. Hungar. 10(1959).

  4. Prasad, J. and Varma, A.K., An Analogue of a Problem of J. Balázs and P. Turán, I: Canad. J. Math. 21(1969).

  5. Varma, A. K., An Analogous of a Problem of J. Balázs and P. Turán, III, Trans. Amer. Math. Soc. 146(1969).

  6. Lorentz, G. G., Jetter, K. and Riemenschneider, S. D., Birkhoff Interpolation. Addison-Wesley Press, 1983.

  7. Szego, G., Orthogonal Polynomials, Amer. Math. Soc. Coll. publ. vol. 23, Proridence, 1939.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siqing, X. On a problem of (0,2)-interpolation. Approx. Theory & its Appl. 9, 73–88 (1993). https://doi.org/10.1007/BF02836485

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02836485

Keywords

Navigation