Jiaxin Geng

collaborators

3 papers

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…

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.NA2023

On the power of standard information for tractability for $L_{\infty}$ approximation of periodic functions in the worst case setting

Jiaxin Geng, Heping Wang

We study multivariate approximation of periodic function in the worst case setting with the error measured in the $L_{\infty}$ norm. We consider algorithms that use standard informat…

Exact L2​ Bernstein-Markov inequalities for generalized weights

Weighted least ℓp​ approximation on compact Riemannian manifolds

On the power of standard information for tractability for L∞​ approximation of periodic functions in the worst case setting

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

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

On the power of standard information for tractability for $L_{\infty}$ approximation of periodic functions in the worst case setting