Good Lattice Rules in Weighted Korobov Spaces with General Weights

@article{Dick2006GoodLR,
  title={Good Lattice Rules in Weighted Korobov Spaces with General Weights},
  author={Josef Dick and Ian H. Sloan and Xiaoqun Wang and Henryk Wozniakowski},
  journal={Numerische Mathematik},
  year={2006},
  volume={103},
  pages={63-97}
}
We study the problem of multivariate integration and the construction of good lattice rules in weighted Korobov spaces with general weights. These spaces are not necessarily tensor products of spaces of univariate functions. Sufficient conditions for tractability and strong tractability of multivariate integration in such weighted function spaces are found. These conditions are also necessary if the weights are such that the reproducing kernel of the weighted Korobov space is pointwise non… CONTINUE READING
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