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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| Format: | Book Book chapter Dataset |
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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 |