IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/036829.html
   My bibliography  Save this article

Spline coalescence hidden variable fractal interpolation functions

Author

Listed:
  • A. K. B. Chand
  • G. P. Kapoor

Abstract

This paper generalizes the classical spline using a new construction of spline coalescence hidden variable fractal interpolation function (CHFIF). The derivative of a spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of a nondiagonal iterated function system. Our construction generalizes the construction of Barnsley and Harrington (1989), when the construction is not restricted to a particular type of boundary conditions. Spline CHFIFs are likely to be potentially useful in approximation theory due to effects of the hidden variables and these effects are demonstrated through suitable examples in the present work.

Suggested Citation

  • A. K. B. Chand & G. P. Kapoor, 2006. "Spline coalescence hidden variable fractal interpolation functions," Journal of Applied Mathematics, Hindawi, vol. 2006, pages 1-17, November.
    • Handle: RePEc:hin:jnljam:036829
    DOI: 10.1155/JAM/2006/36829
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2006/036829.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2006/036829.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/JAM/2006/36829?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ri, Mi-Gyong & Yun, Chol-Hui, 2022. "Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnljam:036829. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.