Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: By introducing the inner-product matrix of two vector functions and using conversion matrix, explicit formulas for the dual basis functions of Wang-Bezier type generalized Ball bases (WBGB) with respect to the Jacobi ight function are given. The dual basis functions with and without boundary constraints are also considered. As a result, the paper includes the ighted 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.
['Li Zhang', 'Jieqing Tan', 'Hongyi Wu', 'Zhi Liu']
I am writing a research paper on a idea The weighted dual functions for Wang-Bézier type generalized Ball bases and their applications
[{"from": "human", "value": "I am writing a research paper on a idea The weighted dual functions for Wang-B\u00e9zier type generalized Ball bases and their applications"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: By introducing the inner-product matrix of two vector functions and using conversion matrix, explicit formulas for the dual basis functions of Wang-Bezier type generalized Ball bases (WBGB) with respect to the Jacobi ight function are given. The dual basis functions with and without boundary constraints are also considered. As a result, the paper includes the ighted 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."}]