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The Chebyshev polynomial of best approximation to a given function on an interval


Author: O. Shisha
Journal: Math. Comp. 20 (1966), 266-271
MSC: Primary 41.40
DOI: https://doi.org/10.1090/S0025-5718-1966-0194809-8
MathSciNet review: 0194809
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References [Enhancements On Off] (What's this?)

  • [1] Ch. de la Vallée Poussin, Leçons sur l'Approximation des Fonctions d'une Variable Réelle, Paris, 1919, Chapter VI.
  • [2] R. J. Duffin & A. C. Schaeffer, Trans. Amer. Math. Soc., v. 50, 1941, pp. 517-528. MR 0005942 (3:235c)
  • [3] A. Markoff, Bull. Acad. Sci. St. Petersburg, v. 62, 1889, pp. 1-24.
  • [4] I. Schur, Math. Z., v. 1, 1918, pp. 377-402. MR 1544303
  • [5] J. Favard, Bull. Sci. Math., v. 61, 1937, pp. 209-224, 243-256.
  • [6] N. Ahiezer & M. Krein, Dokl. Akad. Nauk SSSR, v. 15, 1937, pp. 107-112.
  • [7] D. Jackson, The Theory of Approximation, Amer. Math. Soc, Providence, R. I., 1930, pp. 13-14. MR 1451140 (98a:01022)
  • [8] W. Markoff` (German translation), Math. Ann., v. 77, 1916, pp. 213-258.

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DOI: https://doi.org/10.1090/S0025-5718-1966-0194809-8
Article copyright: © Copyright 1966 American Mathematical Society

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