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The EH Interpolation Spline and Its Approximation

Author

Listed:
  • Jin Xie
  • Xiaoyan Liu

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.

Suggested Citation

  • Jin Xie & Xiaoyan Liu, 2014. "The EH Interpolation Spline and Its Approximation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:745765
    DOI: 10.1155/2014/745765
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    References listed on IDEAS

    as
    1. Farheen Ibraheem & Maria Hussain & Malik Zawwar Hussain & Akhlaq Ahmad Bhatti, 2012. "Positive Data Visualization Using Trigonometric Function," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Farheen Ibraheem & Maria Hussain & Malik Zawwar Hussain & Akhlaq Ahmad Bhatti, 2012. "Positive Data Visualization Using Trigonometric Function," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, November.
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