论文成果
A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
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- 论文类型：期刊论文
- 发表时间：2010-01-01
- 发表刊物：COMPUTATIONAL & APPLIED MATHEMATICS
- 收录刊物：SCIE、Scopus
- 文献类型：J
- 卷号：29
- 期号：1
- 页面范围：47-60
- ISSN号：0101-8205
- 关键字：radial basis functions; multiquadrics; quasi-interpolation; Bernoulli
polynomials; convergence rate
- 摘要：In this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision. Numerical comparisons show that this method offers a higher degree of accuracy. Moreover, the associated algorithm is easily implemented.
