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Cardinal Interpolation and Spline Functions VIII. The Budan-Fourier Theorem for Splines and Applications.

机译：基数插值和样条函数VIII。样条和应用的Budan-Fourier定理。

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The Budan-Fourier theorem is shown to furnish the precise sign-structure of several functions appearing in cardinal spline interpolation and its applications. (Author)

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作者
de Boor, C.; Schoenberg, I. J.;
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年度 1975
页码 1-82
总页数 82
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Splines; Functions(Mathematics); Interpolation; Theorems; Eigenvectors; Green's function; Mathematics; Spline functions; Cardinal splines; Budan Fourier theorem;

机译：样条函数（数学）;插值;定理;特征向量;格林函数;数学;样条函数;基数样条; Budan Fourier定理;

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1. Semi-cardinal interpolation and difference equations: From cubic B-splines to a three-direction box-spline construction [J] . Bejancu A Journal of Computational and Applied Mathematics . 2006,第1期

机译：半基数插值和差分方程：从三次B样条到三向箱形样条构造
2. Spline functions on the circle: cardinal $L$-splines revisited [J] . A. Sharma, Charles A. Micchelli Canadian Journal of Mathematics . 1980,第1980期

机译：样条函数在圆上的作用：重现主要的$ L $-样条
3. Spline functions on the circle: cardinal $L$-splines revisited [J] . A. Sharma, Charles A. Micchelli Canadian Journal of Mathematics . 1980,第1980期

机译：样条函数在圆上的作用：重现主要的$ L $-样条
4. On the Theorem of Curry Schoenberg and the Relation between B-Spline and Box-Spline Functions [C] . NICOLAE POPOVICIU, MIOARA BONCUT Recent Researches in Computational Techniques, Non-Linear Systems and Control . 2011

机译：关于Curry＆Schoenberg定理以及B样条和Box样条函数之间的关系
5. Polyharmonic cardinal Hermite spline interpolation. [D] . Chang, Maoli. 1991

机译：多谐波基数Hermite样条插值。
6. Motion artifact detection and correction in functional near-infrared spectroscopy: a new hybrid method based on spline interpolation method and Savitzky–Golay filtering [O] . Sahar Jahani, Seyed K. Setarehdan, David A. Boas, 2018

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7. Cardinal interpolation and spline fucntions V. The B-splines for cardinal Hermite interpolation [O] . Schoenberg I.J., Sharma A. 1973

机译：基数插值和样条函数OF。基本Hermite插值的B样条
8. Cardinal Interpolation and Spline Functions V. The B-Splines for Cardinal Hermite Interpolation [R] . Schoenberg, I. J., Sharma, A. 1971

机译：基数插值和样条函数V.基数Hermite插值的B样条

Cardinal Interpolation and Spline Functions VIII. The Budan-Fourier Theorem for Splines and Applications.

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