B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness

• 主要作者: Dinh Dũng
• 格式: 圖書 Article Dataset
• 語言: Vietnamese
• 出版: Journal of Complexity 2016
• 主題: Quasi-interplant; Quasi-interpolant representation; Mixed B-spline; Besov space of mixed smoothness
• 在線閱讀: http://repository.vnu.edu.vn/handle/VNU_123/10978

Let be a set of n sample points in the d-cube Id≔[0,1]d, and a family of n functions on Id. We define the linear sampling algorithm Ln(Φ,ξ,⋅) for an approximate recovery of a continuous function f on Id from the sampled values f(x1),…,f(xn), by For the Besov class of mixed smoothness α,...