Skip to main content
Log in

On the continuity of rational approximation operators

  • Published:
Archive for Rational Mechanics and Analysis 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. Maehly, H., & C. Witzgall, Tschebyscheff-Approximationen in kleinen Intervallen. Numer. Math. 2, 142–150 (1960).

    Google Scholar 

  2. Cheney, E. W., & H. L. Loeb, Generalized rational approximation. SIAM J., Ser. B 1, 11–25 (1964).

    Google Scholar 

  3. Werner, H., On the rational Tschebysheff-operator. Math. Zeit. 86, 317–326 (1964). Principal results announced in Bull. Am. Math. Soc. 70, 554–555 (1964).

    Google Scholar 

  4. Cheney, E. W., Approximation by generalized rational functions, pp. 101–110 in [7]. Principal results announced in Notices. Amer. Math. Soc. 11, 461 (1964).

    Google Scholar 

  5. Loeb, H. L., Contributions to rational approximation, thesis, UCLA, 1965. Principal results announced in Notices. Amer. Math. Soc. 11, 335, 462, 689, 769 (1964).

    Google Scholar 

  6. Brosowski, B., Über die Eindeutigkeit der rationalen Tschebyscheff-Approximationen. Numer. Math. 7, 176–186 (1965).

    Google Scholar 

  7. Garabedian, H. L. (ed.), Approximation of Functions. (Proceedings of the General Motors Symposium, August 1964.) Elsevier Publ. Co. 1965.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by L. Collatz

The work of E. W. Cheney was supported by the United States Air Force Office of Scientific Research and by the Office of Naval Research.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheney, E.W., Loeb, H.L. On the continuity of rational approximation operators. Arch. Rational Mech. Anal. 21, 391–401 (1966). https://doi.org/10.1007/BF00264465

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00264465

Keywords

Navigation