Convergence of best rational Tchebycheff approximations
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- by Barry Boehm PDF
- Trans. Amer. Math. Soc. 115 (1965), 388-399 Request permission
References
- N. I. Achieser, Theory of approximation, Frederick Ungar Publishing Co., New York, 1956. Translated by Charles J. Hyman. MR 0095369
- J. L. Walsh, On approximation to an analytic function by rational functions of best approximation, Math. Z. 38 (1934), no. 1, 163–176. MR 1545445, DOI 10.1007/BF01170632
- 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 S. N. Bernstein, Sur l’ordre de la meilleure approximation des fonctions continues par des polynomes de degré donné, Mem. Acad. Belg. (2) 4 (1912), 1-103. J. L. Walsh, Über die Entwicklung einer Analytische Function nach Polynomen, Math. Ann. 96 (1926), 430-436. Ch. Muntz, Über den Approximationssatz von Weierstrass, Schwarz Festschrift (1914), 303-312.
- Barry Boehm, Functions whose best rational Chebyshev approximations are polynomials, Numer. Math. 6 (1964), 235–242. MR 167759, DOI 10.1007/BF01386071 S. N. Bernstein, On the periodic functions for which the Fourier series is the best converging series (Russian, 1936); revised, Collected works, Moscow, 1954, pp. 178-183.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 115 (1965), 388-399
- MSC: Primary 41.17
- DOI: https://doi.org/10.1090/S0002-9947-1965-0199618-7
- MathSciNet review: 0199618