Skip to main content
Log in

Bounds for polynomials orthogonal on a contour when the contour and weight function can have singularities

  • Published:
Siberian Mathematical Journal 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.

Literature Cited

  1. S. E. Warschawski, Über das Randverhalthem der Ableitung der Abbildungsfunktionen bei konformer Abbildung, Mathem. Zeitschr.,35, No. 3-4, 321–456 (1932).

    Article  MathSciNet  MATH  Google Scholar 

  2. Ya. L. Geronimus, Polynomials Orthogonal on a Circle and on a Segment [in Russian], Fizmatgiz, Moscow (1958).

    MATH  Google Scholar 

  3. I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).

    MATH  Google Scholar 

  4. A. L. Kuz'mina, The Asymptotic Representation of Polynomials Orthogonal on a Piecewise Analytic Curve [in Russian], In the Collection: Functional Analysis and Function Theory, Vol. I, Kazan', (1963), pp. 42–50.

  5. P. K. Suetin, Fundamental Properties of Podynomials Orthogonal on a Contour, Uspekhi Matem. Nauk,21, No. 2, 41–88 (1966).

    MathSciNet  Google Scholar 

  6. G. Fauth, Über die Approximation analytischer Funktionen durch Teilsummen threr Szegö, Entwicklung, Mitt. Mathem. Semin. Giessen, No. 67, 1–83 (1966).

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 5, pp. 1070–1078, September–October 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suetim, P.K. Bounds for polynomials orthogonal on a contour when the contour and weight function can have singularities. Sib Math J 8, 817–823 (1967). https://doi.org/10.1007/BF01040657

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01040657

Keywords

Navigation