Quasi-interpolation for high-dimensional function approximation (Q6631363)

In this paper the authors propose a general quasi-interpolation scheme for high-dimensional function approximation.The main contributions of the paper are two-fold. Firstly, they propose a general quasi-interpolation framework for high-dimensional periodic function approximation and, secondly, they construct a simple and efficient quasi-interpolation scheme for high-dimensional non-periodic function approximation over bounded domain without the notorious boundary problem.