A Second-Order Property of Spline Functions with One Free Knot

Hidefumi Kawasaki

doi:10.1006/jath.1994.1079

A Second-Order Property of Spline Functions with One Free Knot

Hidefumi Kawasaki

研究成果: ジャーナルへの寄稿 › コメント/討論 › 査読

4 被引用数 (Scopus)

抄録

We are concerned with an approximation problem by polynomial spline functions with one free knot. Our main concern is a second-order property of the problem with respect to the knot. We show that every spline function satisfying Braess’s alternation condition is nearly optimal.

本文言語	英語
ページ（範囲）	293-297
ページ数	5
ジャーナル	Journal of Approximation Theory
巻	78
号	2
DOI	https://doi.org/10.1006/jath.1994.1079
出版ステータス	出版済み - 8月 1994

!!!All Science Journal Classification (ASJC) codes

分析
数値解析
数学一般
応用数学

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10.1006/jath.1994.1079

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引用スタイル

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abstract = "We are concerned with an approximation problem by polynomial spline functions with one free knot. Our main concern is a second-order property of the problem with respect to the knot. We show that every spline function satisfying Braess{\textquoteright}s alternation condition is nearly optimal.",

author = "Hidefumi Kawasaki",

year = "1994",

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A Second-Order Property of Spline Functions with One Free Knot

抄録

!!!All Science Journal Classification (ASJC) codes

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