一类算子B样条的递推公式

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Recurrence Formula for B-Splines with Respect a Class of Differential Operators

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{Φ^i-1(x)}_i-1^m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 {φ^i-1(x)}_i-1^m which is the basic set of solutions to a class of differential operators in view of generalized divided difference——Green function——B-Splines.

[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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