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Volumn 13, Issue 2, 1997, Pages 187-220

Rates of convex approximation in non-Hilbert spaces

Author keywords

Banach space; Convex combination; Modulus of smoothness; Neural network

Indexed keywords


EID: 0031531584     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02678464     Document Type: Article
Times cited : (111)

References (25)
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    • Barron, A.R.1
  • 4
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    • A generalization of results of R. C. James concerning absolute bases in Banach spaces
    • C. BESSAGA, A. PELCZYNSKI (1958): A generalization of results of R. C. James concerning absolute bases in Banach spaces. Studia Math., 17:151-164.
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  • 9
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    • Séries aléatoires dans les espaces uniformément convexes ou uniformément lisses
    • T. FIGIEL, G. PISIER (1974): Séries aléatoires dans les espaces uniformément convexes ou uniformément lisses. C. R. Acad. Sci. Paris, 279:611-614.
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    • Figiel, T.1    Pisier, G.2
  • 11
    • 0001613468 scopus 로고
    • The best constants in the Khintchine inequality
    • U. HAAGERUP (1982): The best constants in the Khintchine inequality. Studia Math., 70:231-283.
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    • Haagerup, U.1
  • 13
    • 0040864042 scopus 로고
    • Minkowski-r back-propagation: Learning in connectionist models with non-Euclidean error signals
    • New York: American Institute of Physics
    • S. J. HANSON, D. J. BURR (1988): Minkowski-r back-propagation: learning in connectionist models with non-Euclidean error signals. In: Neural Information Processing Systems. New York: American Institute of Physics, p. 348.
    • (1988) Neural Information Processing Systems , pp. 348
    • Hanson, S.J.1    Burr, D.J.2
  • 14
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    • Nonreflexive spaces of type 2
    • R. C. JAMES (1978): Nonreflexive spaces of type 2. Israel J. Math., 30:1-13.
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    • James, R.C.1
  • 15
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    • A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
    • L. K. JONES (1992): A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training. Ann. Statist., 20:608-613.
    • (1992) Ann. Statist. , vol.20 , pp. 608-613
    • Jones, L.K.1
  • 16
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    • Weak convergence in uniformly convex spaces
    • S. KAKUTANI (1938): Weak convergence in uniformly convex spaces. Tôhoku Math. J., 45:188-193.
    • (1938) Tôhoku Math. J. , vol.45 , pp. 188-193
    • Kakutani, S.1
  • 17
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    • Über die diadischen brüche
    • J. KHINTCHINE (1923): Über die diadischen Brüche. Math. Z., 18:109-116.
    • (1923) Math. Z. , vol.18 , pp. 109-116
    • Khintchine, J.1
  • 20
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    • On the modulus of smoothness and divergent series in Banach spaces
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    • Lindenstrauss, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.