A multilevel univariate cubic spline quasi‐interpolation and application to numerical integration
A multilevel univariate cubic spline quasi‐interpolation and application to numerical integration
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DOI：
10.1002/mma.1272
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发表时间：
2010-09
影响因子：
2.9
通讯作者：
Cai-Yun Li;Chungang Zhu
中科院分区：
文献类型：
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作者：
Cai-Yun Li;Chungang Zhu
拟插值在逼近理论和应用的研究中有着重要的意义。本文利用三次样条基，在有界区间的均匀剖分上，提出了一种具有较好光滑性的多层单变量拟插值格式。此外，还介绍了它在数值积分中的应用.最后给出了一些算例，表明该方法简单有效。版权所有© 2010约翰威利父子有限公司.
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. Copyright © 2010 John Wiley & Sons, Ltd.