Yue Zhong

collaborators

3 papers

math.NA2026

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains

Shuhuang Xiang, Jun Xiang, Shunfeng Yang +1

This paper presents a rigorous convergence analysis for the lightning plus polynomial approximation scheme, which employs rational approximations constructed with preassigned taper…

math.CA2025

Construction of a curved Kakeya set

Tongou Yang, Yue Zhong

We construct a compact set in $R^{2}$ of measure 0 containing a piece of a parabola of every aperture between 1 and 2. As a consequence, we improve lower bounds for the $L^{p}$ …

math.CA2025

Improved packing of hypersurfaces in $R^{d}$

Xianghong Chen, Tongou Yang, Yue Zhong

For $d \geq 1$ , we construct a compact subset $K \subseteq R^{d + 1}$ containing a $d$ -sphere of every radius between $1$ and $2$ , such that for every $I^´ \in (0, 1)$ , the $I^´$ -…

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains

Construction of a curved Kakeya set

Improved packing of hypersurfaces in Rd

Improved packing of hypersurfaces in $R^{d}$