Heping Wang

collaborators

4 papers

math.PR2025

Average Nikolskii factors for random diffusion polynomials on closed Riemannian manifolds

Yun Ling, Heping Wang

For $1 \leq p, q \leq \infty$ , the Nikolskii factor for a diffusion polynomial $P_{a}$ of degree at most $n$ is defined by $$N_{p,q}(P_{\bf a})=\frac{\|P_{\bf a}\|_{q}}{\|P_{\bf a}\…

math.CA2025

Average Nikolskii factors for random trigonometric polynomials

Yun Ling, Jiaxin Geng, Jiansong Li +1

For $1 \leq p, q \leq \infty$ , the Nikolskii factor for a trigonometric polynomial $T_{a}$ is defined by $$\mathcal N_{p,q}(T_{\bf a})=\frac{\|T_{\bf a}\|_{q}}{\|T_{\bf a}\|_{p}},\…

math.NA2024

Optimal quadrature for weighted function spaces on multivariate domains

Jiansong Li, Heping Wang

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

math.CA2024

Exact $L_{2}$ Bernstein-Markov inequalities for generalized weights

Jiansong Li, Jiaxin Geng, Yun Ling +1

In this paper, we obtain some exact $L_{2}$ Bernstein-Markov inequalities for generalized Hermite and Gegenbauer weight. More precisely, we determine the exact values of the extremal…

Average Nikolskii factors for random diffusion polynomials on closed Riemannian manifolds

Average Nikolskii factors for random trigonometric polynomials

Optimal quadrature for weighted function spaces on multivariate domains

Exact L2​ Bernstein-Markov inequalities for generalized weights

Exact $L_{2}$ Bernstein-Markov inequalities for generalized weights