3 papers
math.NA2026
Quasi-interpolation using generalized Gaussian kernels
Wenwu Gao, Le Hu, Zhengjie Sun +1
This paper focuses on developing a framework for constructing quasi-interpolation with the highest achievable approximation order from generalized Gaussian kernels with the help of…
math.NA2025
Monte Carlo quasi-interpolation of spherical data
Zhengjie Sun, Mengyuan Lv, Xingping Sun
We establish a deterministic and stochastic spherical quasi-interpolation framework featuring scaled zonal kernels derived from radial basis functions on the ambient Euclidean spac…
math.NA2025
Spherical quasi-interpolation using scaled zonal kernels
Zhengjie Sun, Wenwu Gao, Xingping Sun
We propose and study a new quasi-interpolation method on spheres featuring the following two-phase construction and analysis. In Phase I, we analyze and characterize a large family…