Über die Verteilung der Curtiss-Maximalpunkte bei analytischen Jordankurven
Article
Received:
- 24 Downloads
- 2 Citations
Preview
Unable to display preview. Download preview PDF.
Literatur
- 1.Curtiss, J.H.: Interpolation with harmonic and complex polynomials to boundary values. J. Math. Mech.9, 167–192 (1960)Google Scholar
- 2.Curtiss, J.H.: Interpolation by harmonic polynomials. J. Soc. Indust. Appl. Math.10, 709–736 (1962)Google Scholar
- 3.Curtiss, J.H.: Harmonic interpolation in Fejér points with the Faber polynomials as a basis. Math. Z.86, 75–92 (1964)Google Scholar
- 4.Curtiss, J.H.: The transfinite diameter and extremal points for harmonic polynomial interpolation. J. Analyse Math.17, 369–382 (1966)Google Scholar
- 5.Curtiss, J.H.: Transfinite diameter and harmonic polynomial interpolation. J. Analyse Math.22, 371–389 (1969)Google Scholar
- 6.Fekete, M.: Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten. Math. Z.17, 228–249 (1923)Google Scholar
- 7.Gaier, D.: Konstruktive Methoden der konformen Abbildung. Berlin-Göttingen-Heidelberg: Springer 1964Google Scholar
- 8.Menke, K.: Lösung des Dirichlet-Problems bei Jordangebieten mit analytischem Rand durch Interpolation. Monatsh. Math.80, 297–306 (1975)Google Scholar
- 9.Menke, K.: Über das von Curtiss eingeführte Maximalpunktsystem. Math. Nachr.77, 301–306 (1977)Google Scholar
- 10.Pommerenke, Ch.: Über die Faberschen Polynome schlichter Funktionen. Math. Z.85, 197–208 (1964)Google Scholar
- 11.Pommerenke, Ch.: Über die Verteilung der Fekete-Punkte. Math. Ann.168, 111–127 (1967)Google Scholar
- 12.Siciak, J.: Some applications of interpolating harmonic polynomials. J. Analyse Math.14, 393–407 (1965)Google Scholar
- 13.Sobczyk, A.F.: On the Curtiss non-singularity condition in harmonic polynomial interpolation. J. Soc. Indust. Appl. Math.12, 499–514 (1964)Google Scholar
- 14.Walsh, J.L.: The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions. Bull. Amer. Math. Soc.35, 499–544 (1929)Google Scholar
- 15.Walsh, J.L.: On interpolation to harmonic functions by harmonic polynomials. Proc. Nat. Acad. Sci. U.S.A.18, 514–517 (1932)Google Scholar
- 16.Walsh, J.L.: Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials. J. Math. Mech.9, 193–196 (1960)Google Scholar
- 17.Walsh, J.L.: Interpolation and approximation by rational functions in the complex domain. Amer. Math. Soc. Colloquium Publications20. Providence, R.I.: Amer. Math. Soc. 1969Google Scholar
- 18.Walsh, J.L., Sewell, W.E., Elliott, H.M.: On the degree of polynomial approximation to harmonic and analytic functions. Trans. Amer. Math. Soc.67, 381–420 (1949)Google Scholar
Copyright information
© Springer-Verlag 1978