Multivariate approximation by translates of the Korobov function on Smolyak grids

• المؤلف الرئيسي: Dinh Dũng, Charles A. Micchelli
• التنسيق: كتاب Book chapter Dataset
• منشور في: Journal of Complexity 2016
• الموضوعات: Korobov space; Translates of the Korobov function; Reproducing kernel Hilbert space; Smolyak grids
• الوصول للمادة أونلاين: http://repository.vnu.edu.vn/handle/VNU_123/11124
• المؤسسة: Vietnam National University, Hanoi

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...