SRM Institute of Science and Technology, Kattankulathur, Chennai India
Co-Author(s): S. K. Katiyar
Abstract:
We construct $\mathbf{A}$-fractal rational functions by using rational functions and taking full advantage of flexibility offered by coalescence hidden variable fractal interpolation functions (CHFIFs). This diverse scheme works fairly well for the approximation of a self-affine (self-referential) or non-self-affine (non-self-referential) data generating function and extends it`s classical interpolant and fractal interpolation function (FIF). This scheme allows us to fit shape parameters for shape preserving univariate interpolation. The uniform error bound for the proposed scheme is also found. The usefulness of the shape preserving interpolation scheme is shown with suitably chosen numerical examples and graphs.