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On the Closedness of the Linear Image of a Set, with Applications to Generalized Spline Functions

机译：关于集合线性图像的闭合性及其在广义样条函数中的应用

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In studying generalized splines one seeks to minimize Norm (Tu-f) for u in some constraint set U. Existence of a minimizing u is often equivalent to TU being closed. The authors consider hypotheses that guarantee closedness of TU, and more generally, the closedness of the sum of U and a closed linear subspace. (Author)

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作者
Daniel, J. W.; Schumaker, L. L.;
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年度 1971
页码 p.1-26
总页数 26
原文格式 PDF
正文语种 eng
中图分类
关键词
Approximation(Mathematics) ; Set theory ; Functions ; Banach space ; Convex sets ; Hilbert space ; Calculus of variations ; Numerical analysis ; Theorems;

机译：近似（数学）;集合论;函数; Banach空间;凸集; Hilbert空间;变分微积分;数值分析;定理;

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On the Closedness of the Linear Image of a Set, with Applications to Generalized Spline Functions

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