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Approximation of analytic functions in Korobov spaces

  • Published:2014-04 Issue:2 Volume:30 Page:2-28
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

Dick Josef,Kritzer Peter,Pillichshammer Friedrich,Woźniakowski Henryk

Funder

Australian Research Council Queen Elizabeth 2 Fellowship

Austrian Science Fund (FWF)

NSF

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference9 articles.

1. Theory of reproducing kernels;Aronszajn;Trans. Amer. Math. Soc.,1950

2. Exponential convergence and tractability of multivariate integration for Korobov spaces;Dick;Math. Comp.,2011

3. Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces;Kritzer;Math. Comp.,2013

4. Lattice rules for multivariate approximation in the worst case setting;Kuo,2006

5. Tractability of approximation for weighed Korobov spaces on classical and quantum computers;Novak;Found. Comput. Math.,2004

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