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Volumn 30, Issue 3, 2009, Pages 395-421

Tractability of multivariate approximation over a weighted unanchored sobolev space

Author keywords

Curse of dimensionality; High dimensional approximation; Sobolev space; Tractability

Indexed keywords


EID: 70449590153     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-009-9066-y     Document Type: Article
Times cited : (15)

References (14)
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    • Gnewuch, M.1    Woźniakowski, H.2
  • 3
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    • On the power of standard information for multivariate approximation in the worst case setting
    • (to appear)
    • Kuo, F. Y., Wasilkowski, G., Woźniakowski, H.: On the power of standard information for multivariate approximation in the worst case setting. J. Approx. Theory (2008, to appear).
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    • Kuo, F.Y.1    Wasilkowski, G.2    Woźniakowski, H.3
  • 4
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    • Design problems for optimal surface interpolation
    • Proc. Workshop, Technion-Israel Inst. Tech., Haifa1980, New York: Academic Press
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    • Micchelli, C.A.1    Wahba, G.2
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    • Novak, E.1    Woźniakowski, H.2
  • 7
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    • Tractability of integration in non-periodic and periodic weighted tensor product Hilbert spaces
    • Sloan, I., Woźniakowski, H.: Tractability of integration in non-periodic and periodic weighted tensor product Hilbert spaces. J. Complex. 18(2), 479-499 (2002).
    • (2002) J. Complex. , vol.18 , Issue.2 , pp. 479-499
    • Sloan, I.1    Woźniakowski, H.2
  • 8
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    • Computing a family of reproducing kernels for statistical applications
    • Thomas-Agnan, C.: Computing a family of reproducing kernels for statistical applications. Numer. Algorithms 13, 21-32 (1996).
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  • 10
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    • Explicit cost bounds of algorithms for multivariate tensor product problems
    • Wasilkowski, G. W., Woźniakowski, H.: Explicit cost bounds of algorithms for multivariate tensor product problems. J. Complex. 11(1), 1-56 (1995).
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    • Wasilkowski, G.W.1    Woźniakowski, H.2
  • 11
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    • Weighted tensor product algorithms for linear multivariate problems
    • Wasilkowski, G. W., Woźniakowski, H.: Weighted tensor product algorithms for linear multivariate problems. J. Complex. 15(3), 402-447 (1999).
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    • Wasilkowski, G.W.1    Woźniakowski, H.2
  • 12
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    • On the power of standard information for weighted approximation
    • Wasilkowski, G. W., Woźniakowski, H.: On the power of standard information for weighted approximation. Found. Comput. Math. 1(4), 417-434 (2001).
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    • Finite-order weights imply tractability of linear multivariate problems
    • Wasilkowski, G. W., Woźniakowski, H.: Finite-order weights imply tractability of linear multivariate problems. J. Approx. Theory 130, 57-77 (2004).
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  • 14
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    • Polynomial-time algorithms for multivariate problems with finite-order weights: Worst case setting
    • Wasilkowski, G. W., Woźniakowski, H.: Polynomial-time algorithms for multivariate problems with finite-order weights: worst case setting. Found. Comput. Math. 5, 451-491 (2005).
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    • Wasilkowski, G.W.1    Woźniakowski, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.