| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641189 | Journal of Computational and Applied Mathematics | 2009 | 9 Pages |
Abstract
In this paper, we develop a multiquadric (MQ) quasi-interpolation which has the properties of linear reproducing and preserving monotonicity. Moreover, we give its approximation error by theoretic analysis and illustrate the effect by means of two examples. One of the examples is to approach the linear combination of two sine functions with different frequencies. Another is to approximate a function with discontinuity. From the results of the examples, we believe that the present MQ quasi-interpolation is feasible.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ronghua Chen, Xuli Han, Zongmin Wu,