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The weighted dual functions for Wang-Bézier type generalized Ball bases and their applications |
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| Authors: | Li Zhang Jieqing Tan Hongyi Wu Zhi Liu |
| Institution: | a Department of Mathematics, Hefei University of Technology, Hefei 230009, China b College of Computer and Information, Hefei University of Technology, Hefei 230009, China c Department of Common Course, Anhui Xinhua College, Hefei 230088, China |
| Abstract: | By introducing the inner-product matrix of two vector functions and using conversion matrix, explicit formulas for the dual basis functions of Wang-Bézier type generalized Ball bases (WBGB) with respect to the Jacobi weight function are given. The dual basis functions with and without boundary constraints are also considered. As a result, the paper includes the weighted dual basis functions of Bernstein basis, Wang-Ball basis and some intermediate bases. Dual functionals for WBGB and the least square approximation polynomials are also obtained. |
| Keywords: | Weighted dual function WBGB Inner-product matrix Dual functional Least square approximation |
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