✦ LIBER ✦
A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data
✍ Scribed by Renzhong Feng; Feng Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 505 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
In this paper, we construct a univariate quasi-interpolation operator to non-uniformly distributed data by cubic multiquadric functions. This operator is practical, as it does not require derivatives of the being approximated function at endpoints. Furthermore, it possesses univariate quadratic polynomial reproduction property, strict convexitypreserving and shape-preserving of order 3 properties, and a higher convergence rate. Finally, some numerical experiments are shown to compare the approximation capacity of our quasi-interpolation operator with that of Wu and Schaback's quasi-interpolation scheme.