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计算数学  2001 

STRUCTUAL AND CONTINUITY CHARACTERISTICS OF OPERATOR SPLINE INTERPOLATIONS ASSOCIATED WITH LINEAR SYSTEMS
由可逆线性系统确定的算子插值样条及其构造与连续性质

Keywords: Reduced-order system invese,Related order,Operator spline interpolation,Structual characteristic
降阶逆系统
,相关阶,算子插值样条,构造性质,连续性质,可逆线性系统,极小范数

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Abstract:

In this paper we investigate splines determined by certain linear operators defined in terms of system inverses. Best approximation properties for the proposed splines are given in an appropriate reproducing kernel Hilbert space framework, and the structual and continuity characteristics of these splines are obtained via the reduced-order system invese technique.

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