Multivariate approximation by translates of the Korobov function on Smolyak grids
For a set W subset of L-p(T-d), 1   1/2, is especially important since K-2(r)(T-d) is a reproducing kernel Hilbert space, whose reproducing kernel is a translation kernel determined by kappa(r,d). We also provide lower bounds of the optimal approximation on the best choice of phi. (C) 2013 Elsevier Inc. All rights reserved.
translates of the korobov function smolyak grids reproducing kernel hilbert space korobov space