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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.FA2010
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Dinh Dũng
Let be a grid of points in the -cube ${\II}^d:=[0,1]^d$, and a family of functions on ${\II}^d$. We define the linear sampling…