In this paper, we mainly make research on the approximation of continuous functions in the
view of the fractal structure based on previous studies. Initially, fractal dimensions and the …

In this paper, we mainly investigate continuous functions with unbounded variation on
closed intervals. Given the increasing number of proposals and definitions of different kinds …

In this paper, fractal dimensions of fractional calculus of continuous functions defined on [0,
1] have been explored. Continuous functions with Box dimension one have been divided …

On the basis of previous studies, we explore the approximation of continuous functions with
fractal structure. We first give the calculation of fractal dimension of the linear combination of …

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 …

One of the main tasks in the problems of machine learning and curve fitting is to develop
suitable models for given data sets. It requires to generate a function to approximate the data …

Through appropriate choices of elements in the underlying iterated function system, the
methodology of fractal interpolation enables us to associate a family of continuous self …

Abstract Let x 0< x 1< x 2<…< x N and I=[x 0, x N]. Let u be a continuous function defined on
I and let Δ μ={(xk, μ k): k= 0, 1,…, N}, where μ k= u (xk). We establish a fractal interpolation …

In this paper, we show that the spaces of some types of fractal interpolation functions are
reproducing kernel Hilbert spaces with two different types of inner products. Then we apply …

In this paper, we introduce a new class of fractal approximants as a fixed points of the Read–
Bajraktarević operator defined on a suitable function space. In the development of our fractal …