Heping Wang

activity

20072022

(s, t)

-weak tractability of multivariate approximation with analytic Korobov kernels

3 citations · 17 across the 17 of their papers we have counts for

collaborators

17 papers

math.CA2022★ 1 cited

Weighted $L_{p}$ Markov factors with doubling weights on the ball

Jiansong Li, Heping Wang, Kai Wang

Let $L_{p, w}, 1 \leq p < \infty,$ denote the weighted $L_{p}$ space of functions on the unit ball $B^{d}$ with a doubling weight $w$ on $B^{d}$ . The Markov factor for $L_{p, w}$ o…

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…

math.NA2021

On the power of standard information for tractability for $L_{2}$ -approximation in the average case setting

Wanting Lu, Heping Wang

We study multivariate approximation in the average case setting with the error measured in the weighted $L_{2}$ norm. We consider algorithms that use standard information $Λ^{\rm std…

math.NA2021★ 2 cited

On the power of standard information for tractability for $L_{2}$ -approximation in the randomized setting

Wanting Lu, Heping Wang

We study approximation of multivariate functions from a separable Hilbert space in the randomized setting with the error measured in the weighted $L_{2}$ norm. We consider algorithms…

math.NA2021★ 2 cited

Approximation and quadrature by weighted least squares polynomials on the sphere

Wanting Lu, Heping Wang

Given a sequence of Marcinkiewicz-Zygmund inequalities in $L_{2}$ on a usual compact space $M$ , Gröchenig introduced the weighted least squares polynomials and the least squ…

Weighted Lp​ Markov factors with doubling weights on the ball

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

On the power of standard information for tractability for L2​-approximation in the average case setting

On the power of standard information for tractability for L2​-approximation in the randomized setting

Approximation and quadrature by weighted least squares polynomials on the sphere

Weighted $L_{p}$ Markov factors with doubling weights on the ball

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

On the power of standard information for tractability for $L_{2}$ -approximation in the average case setting

On the power of standard information for tractability for $L_{2}$ -approximation in the randomized setting