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

• Main Author: Dinh Dũng
• Format: Book Article Dataset
• Language: Vietnamese
• Published: Journal of Complexity 2016
• Subjects: Quasi-interplant; Quasi-interpolant representation; Mixed B-spline; Besov space of mixed smoothness
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/10978
• Institution: Vietnam National University, Hanoi

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,...