3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NA2021
Expected uniform integration approximation under general equal measure partition
Jun Xian, Xiaoda Xu
In this paper, we study bounds of expected discrepancy to give mean square error of uniform integration approximation for functions in Sobolev space $\mathcal{H}^{\mathbf{1}}…
cs.IT2020★ 1 cited
Random sampling and reconstruction of concentrated signals in a reproducing kernel space
Yaxu Li, Qiyu Sun, Jun Xian
In this paper, we consider (random) sampling of signals concentrated on a bounded Corkscrew domain of a metric measure space, and reconstructing concentrated signals approximat…
math.FA2014★ 3 cited
Relevant sampling in finitely generated shift-invariant spaces
Hartmut Führ, Jun Xian
We consider random sampling in finitely generated shift-invariant spaces generated by a vector $Φ= (φ_1,\ldots,φ_r) \in {\rm L}^2(\mathbb{R}^…