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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 被引量:1

STRUCTUAL AND CONTINUITY CHARACTERISTICS OF OPERATOR SPLINE INTERPOLATIONS ASSOCIATED WITH LINEAR SYSTEMS
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摘要 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. 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.
作者 张新建
出处 《计算数学》 CSCD 北大核心 2001年第2期145-154,共10页 Mathematica Numerica Sinica
关键词 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 Reduced-order system invese, Related order, Operator spline interpolation, Structual characteristic
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