Skip to main content
SpringerLink
Log in

On copositive approximation

  • Published:
Approximation Theory and its Applications

Abstract

The present note investigates the divergence phenomenon of copositive approximation by polynomials in Lp spaces. We show that the Jackson type estimates cannot hold, in general, for moduli of smoothness of higher degree.

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. Leviatan, D., Degree of Copositive Approximation, In: Approximation Theory IV, Academic Press, New York, 1983, 587–592.

    Google Scholar 

  2. Passow, E. and Raymon, L., Copositive Polynomial Approximation, J. Approx. Theory 12(1974), 299–304.

    Article  MATH  MathSciNet  Google Scholar 

  3. Roulier, J.A., The Degree of Copositive Approximation, J. Approx. Theory 19(1977), 253–258.

    Article  MATH  MathSciNet  Google Scholar 

  4. Telyakovskii, S. A., Research in the Theory of Approximation of Functions at the Mathematical Institute of the Academy of Sciences, Proc. Steklov Institute Math. 182(1988), 141–197.

    MathSciNet  Google Scholar 

  5. Yu, X. M., Degree of Copositive Approximation, Chinese Ann. Math. Ser. B 10(1989), 409–415. MR 91b:41016.

    MATH  MathSciNet  Google Scholar 

  6. Zhou, S. P., A Counterexample in Copositive Approximation, Israel J. Math. 78(1992), 75–83.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada

    S. P. Zhou

Authors
  1. S. P. Zhou
    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

Zhou, S.P. On copositive approximation. Approx. Theory & its Appl. 9, 104–110 (1993). https://doi.org/10.1007/BF02836274

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02836274

Keywords

Search

Navigation