Skip to main content
SpringerLink
Log in

Problems and results on the theory of interpolation. II

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

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

References

  1. G. Faber, Über die interpolatorische Darstellung stetiger Funktionen,Jahresb. der Deutschen Math. Ver.,23 (1914), pp. 190–210.

    Google Scholar 

  2. L. Fejér, Die Abschätzung eines Polynoms in einem Intervalle, wenn Schranken für seine Werte und ersten Ableitungswerte in einzelnen Punkten des Intervalles gegeben sind, und ihre Anwendung auf die Konvergenz Hermitescher Interpolationsreihen,Math. Zeitschrift,32 (1930), pp. 426–457.

    Article  MATH  Google Scholar 

  3. S. Bernstein, Sur la limitation des valeurs d'un polynôme,Bull. Acad. Sci. de l'URSS,8 (1931), pp. 1025–1050.

    Google Scholar 

  4. P. Erdős andP. Turán, An extremal problem in the theory of interpolation,Acta Math. Acad. Sci. Hung.,12 (1961), pp. 221–234.

    Article  Google Scholar 

  5. P. Erdős, Problems and results on the theory of interpolation. I,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 381–388.

    Article  Google Scholar 

  6. P. Erdős, On some convergence properties of the interpolation polynomials,Annals of Math.,44 (1943), Lemma 2, p. 331.

    Google Scholar 

  7. M. Riesz, Eine trigonometrische Interpolationsformel und einige Ungleichungen für Polynome,Jahresb. der Deutschen Math. Ver.,23 (1914), pp. 354–368.

    MATH  Google Scholar 

  8. The proof of Lemma 6 is similar to the one used inP. Erdős,Annals of Math.,43 (1942), pp. 59–64; see alsoP. Erdős andP. Turán,ibid. Annals of Math.,41 (1940), pp. 510–553.

    Article  Google Scholar 

  9. L. Fejér, Bestimmung derjenigen Abszissen eines Intervalles, für welche die Quadratsumme der Grundfunktionen der Lagrangeschen Interpolation im Intervalle [−1, +1] ein möglichst kleines Maximum besitzt,Annali della Scuola Norm. Sup. di Pisa (2),1 (1932), pp. 3–16.

    Google Scholar 

  10. P. Erdős andP. Turán, On Interpolation. Ill,Annals of Math.,41 (1940), pp. 510–553.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Budapest

    P. Erdős (corresponding member of the Academy)

Authors
  1. P. Erdős
    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

Erdős, P. Problems and results on the theory of interpolation. II. Acta Mathematica Academiae Scientiarum Hungaricae 12, 235–244 (1964). https://doi.org/10.1007/BF02066686

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02066686

Keywords

Search

Navigation