A Further Research on the Convergence of Wu-Schabacks Multi-quadric Quasi-Interpolation

Yang Zhang, Xue-Zhang Liang

Abstract

The paper discusses the error estimate of Wu-Schaback's quasi-interpolant for a wider class of approximated functions (the functions with lower smoothness order). Three cases are considered: a function with a Lipschitz continuous first-order derivative, a continuous function and a Lipschitz continuous function, respectively.