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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Approximate functional complexity


Author: R. C. Buck
Journal: Bull. Amer. Math. Soc. 81 (1975), 1112-1114
MSC (1970): Primary 41A30; Secondary 26A72
DOI: https://doi.org/10.1090/S0002-9904-1975-13938-3
MathSciNet review: 0387516
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  • 1. V. I. Arnol′d, Representation of continuous functions of three variables by the superposition of continuous functions of two variables, Amer. Math. Soc. Transl. (2) 28 (1963), 61–147. MR 0153798
  • 2. V. I. Arnol′d, Some questions on approximation and representation of functions, Proc. Internat. Congress Math. 1958, Cambridge Univ. Press, New York, 1960, pp. 339–348 (Russian). MR 0121454
  • 3. V. I. Arnol′d, On the representability of a function of two variables in the form 𝜒[𝜙(𝑥)+𝜓(𝑦)], Uspehi Mat. Nauk (N.S.) 12 (1957), no. 2(74), 119–121 (Russian). MR 0090623
  • 4. R. C. Buck, On approximation theory and functional equations, J. Approximation Theory 5 (1972), 228–237. Collection of articles dedicated to J. L. Walsh on his 75th birthday, III (Proc. Internat. Conf. Approximation Theory, Related Topics and their Applications, Univ. Maryland, College Park, Md., 1970). MR 0377363
  • 5. A. N. Kolmogorov, On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition, Dokl. Akad. Nauk SSSR 114 (1957), 953–956 (Russian). MR 0111809
  • 6. G. G. Lorentz, Metric entropy, widths, and superpositions of functions, Amer. Math. Monthly 69 (1962), 469–485. MR 0141926, https://doi.org/10.2307/2311185
  • 7. David A. Sprecher, A survey of solved and unsolved problems on superpositions of functions, J. Approximation Theory 6 (1972), 123–134. Collection of articles dedicated to J. L. Walsh on his 75th birthday, VI (Proc. Internat. Conf. Approximation Theory, Related Topics and their Applications, Univ. Maryland, College Park, Md., 1970). MR 0348347
  • 8. A. G. Vituškin, \cyr Otsenka slozhnostn zadachi tabulirovaniya, Sovremennye Problemy Matematiki. Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1959 (Russian). MR 0117486

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DOI: https://doi.org/10.1090/S0002-9904-1975-13938-3