Quasi-interpolations with interpolation property

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:163

Article; Proceedings Paper

Wang, RH ; Wang, JX

关键词: interpolation;    quasi-interpolation;    B-spline;   

DOI  :  10.1016/j.cam.2003.08.070

来源: Elsevier

【 摘 要 】

Interpolation and quasi-interpolation are very important methods for function approximation. But both of them have their respective disadvantages. The interpolation function can fit the given sample points, but some oscillation may arise as in the case of the Lagrange interpolation. The quasi-interpolation function, for example, the Bernstein quasi-interpolation function, satisfies the convergence condition, but does not keep fitting the given sample points. In this paper, we present a method to construct a quasi-interpolation operator with certain interpolation property. (C) 2003 Elsevier B.V. All rights reserved.

【 授权许可】

Free