Abstract and Applied Analysis

The EH Interpolation Spline and Its Approximation

Jin Xie and Xiaoyan Liu

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Abstract

A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite interpolation spline. Given the fixed interpolation conditions, the shape of the proposed splines can be adjusted by changing the values of the parameters. Also, the introduced spline could approximate to the interpolated function better than the standard cubic Hermite interpolation spline and the quartic Hermite interpolation splines with single parameter by a new algorithm.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 745765, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606197

Digital Object Identifier
doi:10.1155/2014/745765

Mathematical Reviews number (MathSciNet)
MR3230533

Zentralblatt MATH identifier
07023001

Citation

Xie, Jin; Liu, Xiaoyan. The EH Interpolation Spline and Its Approximation. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 745765, 6 pages. doi:10.1155/2014/745765. https://projecteuclid.org/euclid.aaa/1412606197


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