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math.FA2012
Multivariate approximation by translates of the Korobov function on Smolyak grids
Dinh Dung, Charles Micchelli
For a set $\mathbb{W} \subset L_p(\bT^d)$, , of multivariate periodic functions on the torus $\bT^d$ and a given function $φ\in L_p(\bT^d)$, we study the approximat…
math.FA2011
Adaptive algorithms in sampling recovery
Dinh Dũng
We study optimal algorithms in adaptive sampling recovery of smooth functions defined on the unit -cube ${\II}^d:= [0,1]^d$. The recovery error is measured in the quasi-norm $\|…