Name
Title | ||
|---|---|---|
A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity |
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.03.014 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
linear combination,different frequency,theoretic analysis,approximation error,present mq quasi-interpolation,linear reproducing,multiquadric quasi-interpolation,sine function,shape parameter,radial basis function | Monotonic function,Linear combination,Mathematical optimization,Radial basis function,Mathematical analysis,Discontinuity (linguistics),Interpolation,Linear interpolation,Numerical analysis,Mathematics,Approximation error | Journal |
Volume | Issue | ISSN |
231 | 2 | 0377-0427 |
Citations | PageRank | References |
2 | 0.57 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ronghua Chen | 1 | 2 | 0.57 |
| Xuli Han | 2 | 159 | 22.91 |
| Zongmin Wu | 3 | 88 | 14.04 |