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Volumn 18, Issue 4, 2002, Pages 529-550

Universal bases and greedy algorithms for anisotropic function classes

Author keywords

Best m term approximation; Greedy algorithms; Optimization; Thresholding; Universality

Indexed keywords


EID: 0035982984     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-002-0514-1     Document Type: Article
Times cited : (17)

References (19)
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    • Bernstein, S.N.1
  • 2
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  • 4
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    • DINH DUNG (1998): On best continuous methods in n-term approximation. Vietnam J. Math., 26:367-371.
    • (1998) Vietnam J. Math. , vol.26 , pp. 367-371
    • Dung, D.1
  • 5
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    • On approximation properties of complete orthonormal systems
    • B. S. KASHIN (1985): On approximation properties of complete orthonormal systems. Trudy Mat. Inst. Steklov, 172:187-191; English transl. in Proc. Steklov Inst. Math., 1987, no. 3, 207-211.
    • (1985) Trudy Mat. Inst. Steklov , vol.172 , pp. 187-191
    • Kashin, B.S.1
  • 6
    • 0000646854 scopus 로고
    • English transl.
    • B. S. KASHIN (1985): On approximation properties of complete orthonormal systems. Trudy Mat. Inst. Steklov, 172:187-191; English transl. in Proc. Steklov Inst. Math., 1987, no. 3, 207-211.
    • (1987) Proc. Steklov Inst. Math. , Issue.3 , pp. 207-211
  • 7
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    • 0001795111 scopus 로고    scopus 로고
    • A remark on greedy approximation in Banach spaces
    • S. V. KONYAGIN, V. N. TEMLYAKOV (1999): A remark on greedy approximation in Banach spaces. East J. Approx., 5:1-15.
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  • 10
    • 0013012256 scopus 로고
    • Imbedding theorems for analytic functions of several variables
    • (Russian)
    • M. K. POTAPOV (1957): Imbedding theorems for analytic functions of several variables. Dokl. Akad. Nauk SSSR, 112:591-594 (Russian).
    • (1957) Dokl. Akad. Nauk SSSR , vol.112 , pp. 591-594
    • Potapov, M.K.1
  • 11
    • 0000581036 scopus 로고
    • Entropy numbers of diagonal operators between symmetric Banach spaces
    • C. SCHÜTT (1984): Entropy numbers of diagonal operators between symmetric Banach spaces. J. Approx. Theory, 40:121-128.
    • (1984) J. Approx. Theory , vol.40 , pp. 121-128
    • Schütt, C.1
  • 12
    • 0012961086 scopus 로고
    • Approximation of functions with bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions
    • V. N. TEMLYAKOV (1982): Approximation of functions with bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions. Math. USSR-Izv., 46:171-186; English transl, in Math. USSR-Izv., 20 (1983):173-187.
    • (1982) Math. USSR-Izv. , vol.46 , pp. 171-186
    • Temlyakov, V.N.1
  • 13
    • 0012914094 scopus 로고
    • English transl
    • V. N. TEMLYAKOV (1982): Approximation of functions with bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions. Math. USSR-Izv., 46:171-186; English transl, in Math. USSR-Izv., 20 (1983):173-187.
    • (1983) Math. USSR-Izv. , vol.20 , pp. 173-187
  • 14
    • 0013006186 scopus 로고
    • Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skii spaces
    • English transi, in Math. Notes, 43:444-454
    • V. N. TEMLYAKOV (1988): Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skii spaces. Mat. Zametki, 43:770-786; English transi, in Math. Notes, 43:444-454.
    • (1988) Mat. Zametki , vol.43 , pp. 770-786
    • Temlyakov, V.N.1
  • 16
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    • Nonlinear Kolmogorov's widths
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  • 17
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    • Greedy algorithms with regard to multivariate systems with special structure
    • V. N. TEMLYAKOV (2000): Greedy algorithms with regard to multivariate systems with special structure. Constr. Approx., 16:399-425.
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    • Temlyakov, V.N.1
  • 18
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    • Interrelation between total and partial best approximation in the mean of functions of several variables
    • (Russian)
    • M. F. TIMAN (1957): Interrelation between total and partial best approximation in the mean of functions of several variables. Dokl. Akad. Nauk SSSR, 112:24-26 (Russian).
    • (1957) Dokl. Akad. Nauk SSSR , vol.112 , pp. 24-26
    • Timan, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.