Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-01-01

Journal: COMPUTATIONAL & APPLIED MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 29

Issue: 1

Page Number: 47-60

ISSN: 0101-8205

Key Words: radial basis functions; multiquadrics; quasi-interpolation; Bernoulli polynomials; convergence rate

Abstract: 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.