The article reports on the construction of a general class of fractal radial basis functions
(RBFs) in the literature. The fractal RBFs is defined through fractal perturbation of a RBF …

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 …

Positivity-preserving interpolation has become increasingly popular because it helps to
ensure that the interpolation of positive data remains positive, thereby preventing unrealistic …

Fractal interpolation functions capture the irregularity of some data very effectively in
comparison with the classical interpolants. They yield a new technique for fitting …

The appearance of fractal interpolation function represents a revival of experimental
mathematics, raised by computers and intensified by powerful evidence of its applications …

Coalescence hidden variable fractal interpolation function (CHFIF) proves more versatile
than classical interpolant and fractal interpolation function (FIF). Using rational functions and …

This paper sets a theoretical foundation for applications of fractal interpolation functions
(FIFs). We construct rational cubic spline FIFs (RCSFIFs) with a quadratic denominator …

This paper investigates some univariate and bivariate constrained interpolation problems
using rational quartic fractal interpolation functions, which has been submitted long back in a …

This paper sets a theoretical foundation for applications of fractal interpolation functions
(FIFs). We construct rational cubic spline FIFs (RCSFIFs) with a quadratic denominator …

Fractal interpolation functions capture the irregularity of some data very effectively in
comparison with the classical interpolants. They yield a new technique for fitting …