In this paper, we research on the dimension preserving monotonous approximation by using
fractal interpolation techniques. A constructive result of the approximating sequence of …

This article introduces fractal perturbation of rational functions via α-fractal operator and
investigates some approximation theoretic aspects of this new function class, namely, the …

Let a data set Δ={(ti, yi)∈ R× Y: i= 0, 1,⋯, N} be given, where t 0< t 1< t 2<⋯< t N and Y is a
complete metric space. In this article, fractal interpolation functions (FIFs) on I=[t 0, t N] …

In this article, a new α α-fractal rational cubic spline is introduced with the help of the iterated
function system (IFS) that contains rational functions. The numerator of the rational function …

Generating a function from its finite set of samples is widely studied in data fitting problems.
The theory of nonparametric modeling has been developed by many researchers, and …

A new type of C 1 Fractal Interpolation Function (FIF) is developed using the Iterated
Function System (IFS) which contains the rational spline. The numerator of this rational …

In this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been
proposed, which is characterized by one shape parameter and a linear denominator. In …

Fractal interpolation that possesses the ability to produce smooth and nonsmooth
interpolants is a novice to the subject of interpolation. Apart from appropriate degree of …

The range migration algorithm (RMA) based on Fourier transformation is widely applied in
millimeter-wave (MMW) close-range imaging because of its few operations and small …

Parameter optimization is an important problem in the theory of fractal interpolation functions
and data fitting. In the literature, the methods for determining values of parameters in data …