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Metric entropy of some classes of sets with differentiable boundaries. (English) Zbl 0275.41011

MSC:
41A45 Approximation by arbitrary linear expressions
41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)
26A51 Convexity of real functions in one variable, generalizations
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[1] Bonnesen, T; Fenchel, W, Theorie der konvexen Körper, (1934), Springer Verlag Berlin · Zbl 0008.07708
[2] Clements, G.F, Entropies of several sets of real valued functions, Pacific J. math., 13, 1085-1095, (1963) · Zbl 0158.05002
[3] Dudley, R.M, Sample functions of the Gaussian process, Annals of probability, 1, 66-103, (1973) · Zbl 0261.60033
[4] Kolmogorov, A.N; Tikhomirov, V.M; Kolmogorov, A.N; Tikhomirov, V.M, Ε-entropy and ϵ-capacity of sets in functional spaces, Amer. math. soc. transl. (ser. 2), Uspekhi mat. nauk, 14, 3-86, (1959), from · Zbl 0090.33503
[5] Loève, M, Probability theory, (1963), Van Nostrand Princeton, N.J · Zbl 0108.14202
[6] Lorentz, G.G, Metric entropy and approximation, Bull. amer. math. soc., 72, 903-937, (1966) · Zbl 0158.13603
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