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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

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.