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A multinomial spline approximation scheme using spline quasi-interpolants |
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| Authors: | Min XuQin Fang Ren-Hong WangZi-Wu Jiang Ming-Zeng Liu |
| Affiliation: | a State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China b College of Information, Dalian University, Dalian 116622, China c Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China d School of Automotive Engineering, Dalian University of Technology, Dalian 116024, China |
| Abstract: | This paper presents a multinomial spline approximation scheme based on spline quasi-interpolants. The scheme can be considered as an extension of the usual Bernstein approximation for complex exponentials. Error estimates and numerical examples are given to show that this new scheme could produce highly accurate results. |
| Keywords: | B-splines Bernstein polynomials Quasi-interpolants Chebyshev knots |
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