Exact asymptotic orders of Kolmogorov, linear, and sampling widths are determined for Gaussian Sobolev embeddings W^s_p(R^d, γ) into L_q(R^d, γ) when 1 ≤ q < p < ∞ and when p = q = 2.
Szeg¨ o.Orthogonal Polynomials
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
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.
citing papers explorer
-
Widths of embeddings of Gaussian Sobolev spaces
Exact asymptotic orders of Kolmogorov, linear, and sampling widths are determined for Gaussian Sobolev embeddings W^s_p(R^d, γ) into L_q(R^d, γ) when 1 ≤ q < p < ∞ and when p = q = 2.
-
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.