一类算子B样条的递推公式
Recurrence Formula for B-Splines with Respect a Class of Differential Operators
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摘要: 本文从广义差商-Green函数-B样条的观点出发,绘出了以正则系统{Φi-1(x)}i-1m为基解组的一类微分算子的正规B样条的递推公式.Abstract: In this paper, we give recurrence formula for normalized B-Splines with respect to Standard system {φi-1(x)}i-1m which is the basic set of solutions to a class of differential operators in view of generalized divided difference——Green function——B-Splines.
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[1] Schumaker,L.L.Splines Function:Basic Theory,New York,(1981). [2] Karlin,S.,and W.J.Studden,Tchebycheff System:With Applications in Analysis and Statistics,Interscience,New York,(1966). [3] 许跃生,一类广义差商Leibniz公式与Green函数的递推公式,应用数学和力学,5,3(1984),391-399.
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