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On the distribution of Fekete points

Published online by Cambridge University Press:  26 February 2010

T. Kövari  and
Ch. Pommerenke
T. Kövari
Affiliation:
Imperial College, London S.W.7.
Ch. Pommerenke
Affiliation:
Technische Universität, Berlin 12.
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Extract

Let E be a continuum and n ≥ 4 a given positive integer. A system of points z1,…, zn єE that maximizes

is called a system of Fekete points. Such a system may be not unique.

Type
Research Article
Information
Mathematika , Volume 15 , Issue 1 , June 1968 , pp. 70 - 75
Copyright
Copyright © University College London 1968

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References

1.Alper, S. Y., “On the uniform approximation of functions of a complex variable in closed domains” (Russian), Izv. Akad. Nauk SSSR, Ser. Mat., 19 (1955), 423–444.Google Scholar
2.Alper, S. Y., “On the convergence of Lagrange interpolation polynomials in the complex domain” (Russian), Uspekhi Mat. Nauk, Vol. XI, 5, 44–49.Google Scholar
3.Erdös, P. and Turan, P., “On interpolation II”, Annals of Math., 39 (1938), 703–724.Google Scholar
4.Pommerenke, Ch., “On the derivative of a polynomial”, Michigan Math. J., 6 (1959), 373–375.CrossRefGoogle Scholar