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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Metric entropy of certain classes of Lipschitz functions
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by A. C. Vosburg PDF
Proc. Amer. Math. Soc. 17 (1966), 665-669 Request permission
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
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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