Skip to main content
Log in

On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases)

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. P. Erdős andP. Vértesi, On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes,Acta Math. Acad. Sci. Hungar.,36 (1980), 71–89;38 (1981), 263.

    Google Scholar 

  2. S. Y. Alper, On the convergence of Lagrange interpolation on the complex domain,Usp. Mat. Nauk,11 (5) (1956), 44–50 (in Russian).

    Google Scholar 

  3. A. H. German, Interpolation on complex domain,Anal. Math.,6 (1980), 121–135.

    Google Scholar 

  4. P. Erdős andP. Turán, On interpolation. III,Annals of Math.,41 (1940), 510–553.

    Google Scholar 

  5. W. Orlicz, Über Folgen linearer Operationer die von einem Parameter abhängen,Studia Math.,5 (1934), 160–170.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The results were announced in Oberwolfach, August 9–16, 1980.

The author was supported by funds from the National Sciences and Engineering Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vértesi, P. On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases). Acta Mathematica Academiae Scientiarum Hungaricae 39, 367–377 (1982). https://doi.org/10.1007/BF01896703

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01896703

Keywords

Navigation