Optimal asymptotic integration error rates are established for functions in fractional Gaussian Sobolev spaces W^s_p(R^d, γ) for 1 < p < ∞ and s > 1/p not integer, plus related results for Hermite and Gagliardo variants.
Triebel.Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
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Optimal numerical integration for functions in fractional Gaussian Sobolev spaces
Optimal asymptotic integration error rates are established for functions in fractional Gaussian Sobolev spaces W^s_p(R^d, γ) for 1 < p < ∞ and s > 1/p not integer, plus related results for Hermite and Gagliardo variants.