Multivariate approximation by translates of the Korobov function on Smolyak grids

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...

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Bibliographic Details
Main Author: Dinh Dũng, Charles A. Micchelli
Format: Book Book chapter Dataset
Published: Journal of Complexity 2016
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Online Access:http://repository.vnu.edu.vn/handle/VNU_123/11124
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Institution: Vietnam National University, Hanoi

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