Lower bounds for the degree of approximation
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- by G. G. Lorentz
- Trans. Amer. Math. Soc. 97 (1960), 25-34
- DOI: https://doi.org/10.1090/S0002-9947-1960-0117487-3
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References
- N. I. Achieser, Theory of approximation, Frederick Ungar Publishing Co., New York, 1956. Translated by Charles J. Hyman. MR 0095369
- A. Kolmogoroff, Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse, Ann. of Math. (2) 37 (1936), no. 1, 107–110 (German). MR 1503273, DOI 10.2307/1968691
- A. N. Kolmogorov and V. M. Tihomirov, $\varepsilon$-entropy and $\varepsilon$-capacity of sets in function spaces, Uspehi Mat. Nauk 14 (1959), no. 2 (86), 3–86 (Russian). MR 0112032
- G. G. Lorentz, Approximation of smooth functions, Bull. Amer. Math. Soc. 66 (1960), 124–125. MR 111971, DOI 10.1090/S0002-9904-1960-10426-0
- I. P. Natanson, Konstruktive Funktionentheorie, Akademie-Verlag, Berlin, 1955 (German). MR 0069915
- Walter Rudin, $L^2$-approximation by partial sums of orthogonal developments, Duke Math. J. 19 (1952), 1–4. MR 45846
- A. G. Vituškin, Best approximations of differentiable and analytic functions, Dokl. Akad. Nauk SSSR (N.S.) 119 (1958), 418–420 (Russian). MR 0101985 —, Estimation of the difficulty of the tabulation problem, Gosizdat, Moscow, 1959, 228 pp.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 97 (1960), 25-34
- MSC: Primary 41.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0117487-3
- MathSciNet review: 0117487