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A multilevel univariate cubic spline quasi-interpolation and application to numerical integration

✍ Scribed by Cai-Yun Li; Chun-Gang Zhu


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
230 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis


Communicated by A. Kunoth

Quasi-interpolation is very important in the study of the approximation theory and applications. In this paper, a multilevel univariate quasi-interpolation scheme with better smoothness using cubic spline basis on uniform partition of bounded interval is proposed. Moreover, its application to numerical integration is presented. Furthermore, some examples are given and show that the presented method is easy and valid.