The Chebyshev polynomial of best approximation to a given function on an interval
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- Math. Comp. 20 (1966), 266-271 Request permission
References
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Ch. de la Vallée Poussin, Leçons sur l’Approximation des Fonctions d’une Variable Réelle, Paris, 1919, Chapter VI.
- R. J. Duffin and A. C. Schaeffer, A refinement of an inequality of the brothers Markoff, Trans. Amer. Math. Soc. 50 (1941), 517–528. MR 5942, DOI 10.1090/S0002-9947-1941-0005942-4 A. Markoff, Bull. Acad. Sci. St. Petersburg, v. 62, 1889, pp. 1–24.
- I. Schur, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten, Math. Z. 1 (1918), no. 4, 377–402 (German). MR 1544303, DOI 10.1007/BF01465096 J. Favard, Bull. Sci. Math., v. 61, 1937, pp. 209–224, 243–256. N. Ahiezer & M. Krein, Dokl. Akad. Nauk SSSR, v. 15, 1937, pp. 107–112.
- Dunham Jackson, The theory of approximation, American Mathematical Society Colloquium Publications, vol. 11, American Mathematical Society, Providence, RI, 1994. Reprint of the 1930 original. MR 1451140 W. Markoff‘ (German translation), Math. Ann., v. 77, 1916, pp. 213–258.
Additional Information
- © Copyright 1966 American Mathematical Society
- 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