A multilevel univariate cubic spline quasi‐interpolation and application to numerical integration |
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| Authors: | Cai‐Yun Li Chun‐Gang Zhu |
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| Institution: | School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People's Republic of China |
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| Abstract: | 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. |
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| Keywords: | quasi‐interpolation multilevel cubic spline numerical integration |
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