Skip to main content
Log in

On Infinite--Finite Inequalities Related to the Laguerre Weight

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

The Mhaskar--Rakhmanov--Saff inequalities are improved for polynomials with exponential weights.

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.

Similar content being viewed by others

REFERENCES

  1. G. Freud, “On two polynomial inequalities. I,” Acta Math. Acad. Sci. Hung., 22 (1971), no. 1-2, 109–116.

    Google Scholar 

  2. P. Borwein, E. A. Rakhmanov, and E. B. Saff, “Rational approximation with varying weights. I,” Constructive Approximation, 12 (1996), no. 2, 223–240.

    Google Scholar 

  3. E. A. Rakhmanov, “On asymptotical properties of orthogonal polynomials on the real line,” Mat. Sb. [Math. USSR-Sb.], 119 (161) (1982), 109–203.

    Google Scholar 

  4. H. N. Mhaskar and E. B. Saff, “Extremal problems for polynomials with Laguerre weights,” in: Approximation Theory IV, Acad. Press, New York, 1983, pp. 619–624.

    Google Scholar 

  5. H. N. Mhaskar and E. B. Saff, “Extremal problems for polynomials with exponential weights,” Trans. Amer. Math. Soc., 285 (1984), 203–234.

    Google Scholar 

  6. G. Szegö, Orthogonal Polynomials, American Mathematical Society, Colloquium Publications, XXIII, Providence, R.I., 1959.

    Google Scholar 

  7. V. P. Sklyarov, “On a polynomial inequality of G. Freud,” Mat. Zametki [Math. Notes], 60 (1996), no. 5, 788–792.

    Google Scholar 

  8. E. Kamke, Differentialgleichungen, Lösungsmethoden und Lösungen, Leipzig, 1959.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sklyarov, V.P. On Infinite--Finite Inequalities Related to the Laguerre Weight. Mathematical Notes 70, 233–241 (2001). https://doi.org/10.1023/A:1010211026569

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010211026569

Navigation