Spline coalescence hidden variable fractal interpolation functions

A. K. B. Chand and G. P. Kapoor

Journal of Applied Mathematics, 2006, vol. 2006, issue 1

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.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/JAM/2006/36829

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2006:y:2006:i:1:n:036829

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().