Interpolation of medians

被引：13

作者：

Goodman, TNT

Yu, TPY

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[2] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1999年 / 11卷 / 01期

关键词：

median; interpolation; polynomial; spline;

D O I：

10.1023/A:1018959506235

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the median of a continuous function on an interval and show that for certain spaces of functions there is a unique function in the space whose medians on given intervals take given values.

引用

页码：1 / 10

页数：10

共 6 条

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[Anonymous], APPROXIMATION FUNCTI

[2]

Braess D, 1986, NONLINEAR APPROXIMAT

[3]

DONOHO DL, NONLINEAR WAVELET TR

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Jackson, D .

AMERICAN JOURNAL OF MATHEMATICS, 1924, 46 :215-234

[5]

ORTEGA J., 1970, ITERATIVE SOLUTION N

[6] ON POLYA FREQUENCY FUNCTIONS .3. THE POSITIVITY OF TRANSLATION DETERMINANTS WITH AN APPLICATION TO THE INTERPOLATION PROBLEM BY SPLINE CURVES [J].

SCHOENBERG, IJ ;

WHITNEY, A .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 74 (MAR) :246-259

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