STABLE RECURRENCE RELATION FOR TRIGONOMETRIC B-SPLINES

被引：110

作者：

LYCHE, T ^{[1
]}

WINTHER, R ^{[1
]}

机构：

[1] UNIV CHICAGO,DEPT MATH,CHICAGO,IL 60637

来源：

JOURNAL OF APPROXIMATION THEORY | 1979年 / 25卷 / 03期

关键词：

D O I：

10.1016/0021-9045(79)90017-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give results that lead to stable algorithms for computing with trigonometric splines. In particular we show that certain trigonometric B-splines satisfy a recurrence relation similar to the one for polynomial splines. We also show how these trigonometric B-splines can be differentiated, and a trigonometric version of Marsden's identity is given. The results are obtained by studying certain trigonometric divided differences. © 1979.

引用

页码：266 / 279

页数：14

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[2]

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[3]

Karlin S., 1968, TOTAL POSITIVITY, VI

[4]

Marsden Martin, 1970, J APPROXIMATION THEO, V3, P7

[5]

SCHOENBERG IJ, 1964, J MATH MECH, V13, P795

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[7] TCHEBYCHEFFIAN SPLINE FUNCTIONS [J].

SCHUMAKER, LL .

JOURNAL OF APPROXIMATION THEORY, 1976, 18 (03) :278-303

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