Multivariate approximation by translates of the Korobov function on Smolyak grids

• 主要作者: Dinh Dũng, Charles A. Micchelli
• 格式: 圖書 Book chapter Dataset
• 出版: Journal of Complexity 2016
• 主題: Korobov space; Translates of the Korobov function; Reproducing kernel Hilbert space; Smolyak grids
• 在線閱讀: http://repository.vnu.edu.vn/handle/VNU_123/11124

For a set W ⊂ Lp(Td), 1 < p < ∞, of multivariate periodic functions on the torus Td and a given function ϕ ∈ Lp(Td), we study the approximation in the Lp(Td)-norm of functions f ∈ W by arbitrary linear combinations of n translates of ϕ. For W = Ur p (Td) and ϕ = κr,d, we prove upper bounds...