He-Ping Wang

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math.NA2024

Optimal quadrature for weighted function spaces on multivariate domains

Jiansong Li, Heping Wang

Consider the numerical integration $Int_{S^{d}, w} (f) = \int_{S^{d}} f (x) w (x) d σ (x)$ for weighted Sobolev classes $B W_{p, w}^{r} (S^{d})$ …

math.NA2024

Weighted least $ℓ_{p}$ approximation on compact Riemannian manifolds

Jiansong Li, Yun Ling, Jiaxin Geng +1

Given a sequence of Marcinkiewicz-Zygmund inequalities in $L_{2}$ on a compact space, Gröchenig in \cite{G} discussed weighted least squares approximation and least squares quadratur…

math.NA2024

Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres

Jiaxin Geng, Yun Ling, Jiansong Li +1

In this paper, we study optimal quadrature errors, approximation numbers, and sampling numbers in $L_{2} (S^{d})$ for Sobolev spaces $H^{α, β} (S^{d})$ with logarithmic pert…

Optimal quadrature for weighted function spaces on multivariate domains

Weighted least ℓp​ approximation on compact Riemannian manifolds

Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres

Weighted least $ℓ_{p}$ approximation on compact Riemannian manifolds