Tractability of multivariate approximation defined over Hilbert spaces with exponential weights

  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},
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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Theory of reproducing kernels

  • N. Aronszajn
  • Trans. Amer. Math. Soc. 68
  • 1950
Highly Influential
8 Excerpts

A note on tractability of multivariate analytic problems

  • Yongping Liu, Guiqiao Xu
  • 2016

High-dimensional integration on the Rd

  • C. Irrgeher, G. Leobacher
  • weighted Hermite spaces, and orthogonal…
  • 2016
1 Excerpt

Notes on (s

  • P. Siedlecki, M. Weimar
  • t)-weak tractability: a refined classification of…
  • 2015
2 Excerpts

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