Metric entropy of certain classes of Lipschitz functions
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References
- A. N. Kolmogorov, On certain asymptotic characteristics of completely bounded metric spaces, Dokl. Akad. Nauk SSSR (N.S.) 108 (1956), 385–388 (Russian). MR 0080904
- 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
- A. N. Kolmogorov and V. M. Tihomirov, $\varepsilon$-entropy and $\varepsilon$-capacity of sets in functional space, Amer. Math. Soc. Transl. (2) 17 (1961), 277–364. MR 0124720
- G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. MR 0213785
- G. G. Lorentz, Metric entropy, widths, and superpositions of functions, Amer. Math. Monthly 69 (1962), 469–485. MR 141926, DOI 10.2307/2311185
- A. F. Timan, The order of growth of $\varepsilon$-entropy of spaces of real continuous functionals defined on a connected compactum, Uspehi Mat. Nauk 19 (1964), no. 1 (115), 173–177 (Russian). MR 0162909
- A. G. Vituškin, Otsenka slozhnostn zadachi tabulirovaniya, Sovremennye Problemy Matematiki, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1959 (Russian). MR 0117486
- A. G. Vituškin, Theory of the transmission and processing of information, Pergamon Press, New York-Oxford-London-Paris, 1961. Translated from the Russian by Ruth Feinstein; translation editor A. D. Booth. MR 0132342
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 665-669
- MSC: Primary 54.82
- DOI: https://doi.org/10.1090/S0002-9939-1966-0193624-0
- MathSciNet review: 0193624