Skip to main content
Log in

An interpolatory version of Timan's theorem on simultaneous approximation

  • Published:
Acta Mathematica 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. K. Balzs and T. Kilgore, Simultaneous approximation of derivatives by Lagrange and Hermite interpolation,J. Approx. Theory, in press.

  2. Y. Brudnyi, Approximation by integral functions on the exterior of a segment and on a semiaxis (Russian),Doklady Akad. Nauk SSSR,124 (1959), 739–742.

    Google Scholar 

  3. I. Gopengauz, A theorem of A. F. Timan on the approximation of functions by polynomials on a finite segment,Mat. Zametki,1 (1967), 163–172 (in Russian);Math. Notes. 1 (1967), 110–116 (English translation).

    Google Scholar 

  4. D. Leviatan, The behavior of the derivatives of the algebraic polynomials of best approximation,J. Approx. Theory,35 (1982), 169–176.

    Article  Google Scholar 

  5. G. Lorentz,Approximation of Functions, Holt, Rinehart, and Winston (New York, 1966).

    Google Scholar 

  6. Y. Muneer, On Lagrange and Hermite Interpolation. I.,Acta Math. Hung.,49 (1987), 293–305.

    Google Scholar 

  7. P. Runck and P. Vértesi, Some good point systems for derivatives of Lagrange interpolatory operators, preprint.

  8. J. Szabados, On the convergence of the derivatives of projection operators,Analysis Math.,7 (1987), 349–357.

    Google Scholar 

  9. S. Telyakovskii, Two theorems on the approximation of functions by algebraic polynomials,Mat. Sb.,70 (112) (1966), 252–265.

    Google Scholar 

  10. A. F. Timan, An extension of Jackson's Theorem on the best approximation of continuous function (in Russian),Dokl. Akad. Nauk SSSR,78 (1951), 17–20.

    Google Scholar 

  11. R. Trigub, Approximation of functions by polynomials with integral coefficients (in Russian),Isv. Akad. Nauk SSSR, Ser. Matem.,26 (1962), 261–280.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by Hungarian National Foundation for Scientific Research, Grant # 1801 and by a travel grant from the Soros Foundation. Work completed in Budapest.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balázs, K., Kilgore, T. & Vértesi, P. An interpolatory version of Timan's theorem on simultaneous approximation. Acta Math Hung 57, 285–290 (1991). https://doi.org/10.1007/BF01903680

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903680

Keywords

Navigation