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Rozema, Edward R.; Smith, Philip W.

Global approximation with bounded coefficients. (English) Zbl 0317.41031

J. Approximation Theory 16, 162-174 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0317.41031

Cited in 2 Reviews
Cited in 15 Documents

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
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References:

[1] Ault, D. A.; Deutsch, F. R.; Morris, P. D.; Olsen, J. E., Interpolating subspaces in approximation theory, J. Approximation Theory, 3, 164-182 (1970) · Zbl 0193.09103
[2] Carroll, M. P., Simultaneous \(L_1\) approximation of a compact set of real-valued functions, Numer. Math., 19, 110-115 (1972) · Zbl 0221.65019
[3] Chalmers, B. L., A unified approach to uniform real approximation by polynomials with linear restrictions, Trans. Amer. Math. Soc., 166, 309-316 (1972) · Zbl 0252.41005
[4] Garkavi, A. L., Amer. Math. Soc. Transl., Ser. 4, 39 (1964) · Zbl 0158.13602
[5] Garkavi, A. L., On Chebyshev centers and convex closures of sets, Uspehi Mat. Nauk., 19, 120-126 (1964)
[6] Golomb, M., On the uniformly best approximation of functions given by incomplete data, (M.R.C. Technical Summary Report 121 (December 1959), The University of Wisconsin: The University of Wisconsin Madison)
[7] Holmes, R. B., A Course on Optimization and Best Approximation (1972), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0234.46016
[8] Kadets, M.; Zamyatin, V., Chebyshev centers in the space \(C[a, b]\), Teor. Funkcii Funkcional. Anal. i Priložen, 7, 20-26 (1968) · Zbl 0184.15402
[9] Karlin, S.; Studden, W. J., Tchebycheff Systems: With Applications in Analysis and Statistics (1966), Interscience: Interscience New York · Zbl 0153.38902
[10] Laurent, P.; Pham-Dinh-Tuan, Global approximation of a compact set in a normed linear space, Numer. Math., 15, 137-150 (1970) · Zbl 0198.21003
[11] Remes, E., Sur la determination des polynomes d’approximation de degre donne, Commun. Soc. Math. Kharkof, Ser 4, 10, 41-63 (1934) · JFM 60.0979.01
[12] Roulier, J. A.; Taylor, G. D., Uniform approximation by polynomials having bounded coefficients, Math. Abhandlung., 36, 126-135 (1971) · Zbl 0223.41006
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