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Volumn 30, Issue 3, 2009, Pages 457-473

Optimal order of convergence and (in)tractability of multivariate approximation of smooth functions

Author keywords

Approximation of smooth functions; Curse of dimensionality; Rate of convergence; Tractability

Indexed keywords


EID: 70449532992     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-009-9069-8     Document Type: Article
Times cited : (8)

References (10)
  • 2
    • 70349572100 scopus 로고    scopus 로고
    • Generalized tractability for multivariate problems, Part II: Linear tensor product problems, linear information, unrestricted tractability
    • Gnewuch, M., Woźniakowski, H.: Generalized tractability for multivariate problems, Part II: Linear tensor product problems, linear information, unrestricted tractability. Found. Comput. Math. 9, 431-460 (2009).
    • (2009) Found. Comput. Math. , vol.9 , pp. 431-460
    • Gnewuch, M.1    Woźniakowski, H.2
  • 4
    • 67649103535 scopus 로고    scopus 로고
    • Approximation of infinitely differentiable multivariate functions is intractable
    • Novak, E., Woźniakowski, H.: Approximation of infinitely differentiable multivariate functions is intractable. J. Complex. 25, 398-404 (2009).
    • (2009) J. Complex. , vol.25 , pp. 398-404
    • Novak, E.1    Woźniakowski, H.2
  • 5
    • 0038967057 scopus 로고    scopus 로고
    • An intractability result for multiple integration
    • Sloan, I. H., Woźniakowski, H.: An intractability result for multiple integration. Math. Comput. 66, 1119-1124 (1997).
    • (1997) Math. Comput. , vol.66 , pp. 1119-1124
    • Sloan, I.H.1    Woźniakowski, H.2
  • 9
    • 70449590153 scopus 로고    scopus 로고
    • Tractability of multivariate approximation over a weighted unanchored Sobolev space
    • doi:10.1007/s00365-009-9066-y
    • Werschulz, A. G., Woźniakowski, H.: Tractability of multivariate approximation over a weighted unanchored Sobolev space. Constr. Approx. (2009). doi: 10. 1007/s00365-009-9066-y.
    • (2009) Constr. Approx.
    • Werschulz, A.G.1    Woźniakowski, H.2
  • 10
    • 0007012456 scopus 로고
    • Tractability and strong tractability of multivariate tensor product problems
    • Woźniakowski, H.: Tractability and strong tractability of multivariate tensor product problems. J. Comput. Inf. 4, 1-19 (1994).
    • (1994) J. Comput. Inf. , vol.4 , pp. 1-19
    • Woźniakowski, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.