Tractability of multivariate approximation defined over Hilbert spaces with exponential weights

@article{Irrgeher2016TractabilityOM,
  title={Tractability of multivariate approximation defined over Hilbert spaces with exponential weights},
  author={Christian Irrgeher and Peter Kritzer and Friedrich Pillichshammer and Henryk Wozniakowski},
  journal={Journal of Approximation Theory},
  year={2016},
  volume={207},
  pages={301-338}
}
We study multivariate approximation defined over tensor product Hilbert spaces. The space is a weighted tensor product Hilbert space with exponential weights which depend on two sequences a = {a j } j∈N and b = {b j } j∈N of positive numbers, and on a bounded sequence of positive integers m = {m j } j∈N. The sequence a is non-decreasing and the sequence b is bounded from below by a positive number. We find necessary and sufficient conditions on a, b and m to achieve the standard and new notions… CONTINUE READING

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