Intractability Results for Integration and Discrepancy

@article{Novak2001IntractabilityRF,
  title={Intractability Results for Integration and Discrepancy},
  author={Erich Novak and Henryk Wozniakowski},
  journal={J. Complex.},
  year={2001},
  volume={17},
  pages={388-441}
}
We mainly study multivariate (uniform or Gaussian) integration defined for integrand spaces Fd such as weighted Sobolev spaces of functions of d variables with smooth mixed derivatives. The weight ?j moderates the behavior of functions with respect to the jth variable. For ?j?1, we obtain the classical Sobolev spaces whereas for decreasing ?j's the weighted Sobolev spaces consist of functions with diminishing dependence on the jth variables. We study the minimal errors of quadratures that use n… 
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