Jian-Song Li

activity

20222026

most citedRobust Floquet-induced gap in irradiated graphite

3 citations · 4 across the 8 of their papers we have counts for

collaborators

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5 papers · 1 filter

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…

math.NA2022

Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball

Jiansong Li, Heping Wang

We consider the numerical integration $INT_{d} (f) = \int_{B^{d}} f (x) w_{μ} (x) d x$ for the weighted Sobolev classes $B W_{p, μ}^{r}$ and the weighted Besov classes $BB_τ^r(L…

math.NA2022

Weighted $ℓ_{q}$ approximation problems on the ball and on the sphere

Jiansong Li, Heping Wang

Let $L_{q, μ}, 1 \leq q < \infty, μ \geq 0,$ denote the weighted $L_{q}$ space with the classical Jacobi weight $w_{μ}$ on the ball $B^{d}$ . We consider the weighted least $ℓ_{q}$ appr…

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

Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball

Weighted ℓq​ approximation problems on the ball and on the sphere

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

Weighted $ℓ_{q}$ approximation problems on the ball and on the sphere