A Further Research on the Convergence of Wu-Schabacks Multi-quadric Quasi-InterpolationYang Zhang, Xue-Zhang Liang, Qiang Li*
School of Mathematics, Jilin University, Changchun, 130012, P.R. China
- *Corresponding Author:
- Qiang Li
School of Mathematics, Jilin University
Changchun, 130012, PR China
E-mail: [email protected]
Received August 25, 2013; Accepted September 23, 2013; Published September 26, 2013
Citation: Zhang Y, Zhang Y, Liang XZ, Li Q (2013) A Further Research on the Convergence of Wu-Schaback’s Multi-quadric Quasi-Interpolation J Appl Computat Math 2: 138. doi: 10.4172/2168-9679.1000138
Copyright: © 2013 Zhang Y, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.