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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On uniform approximation to continuous functions by rational functions with preassigned poles


Author: Henry J. Landau
Journal: Proc. Amer. Math. Soc. 5 (1954), 671-676
MSC: Primary 30.0X
MathSciNet review: 0064140
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References [Enhancements On Off] (What's this?)

  • [1] M. Lavrentieff, Sur les fonctions d'une variable complexe, Actualités Scientifiques et Industrielles, no. 441, 1936.
  • [2] M. Keldysh, Mat. Sbornik N.S. vol. 16 (1945) pp. 249-258.
  • [3] S. N. Mergelyan, On the representation of functions by series of polynomials on closed sets, Doklady Akad. Nauk SSSR (N.S.) 78 (1951), 405–408 (Russian). MR 0041929 (13,23f)
  • [4] V. A. Tonyan, On approximation of continuous functions on sets separating the plane, Akad. Nauk Armyan. SSR. Doklady 12 (1950), 33–36 (Russian, with Armenian summary). MR 0051923 (14,548b)
  • [5] J. L. Walsh, Interpolation and approximation, Amer. Math. Soc. Colloquium Publications, vol. 20, 1935.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1954-0064140-3
PII: S 0002-9939(1954)0064140-3
Article copyright: © Copyright 1954 American Mathematical Society