This paper pertains to the area of shape preservation and sets a theoretical foundation for
the applications of preserving constrained nature of a given constraining data in fractal …

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] …

Constructing a cam curve is the fundamental of designing cam mechanism. There have
been many methods of constructing various cam curves in mathematical filed and …

Mathematical defects of general cam curves such as high-order discontinuity and overlarge
peak values often bring excessive transmission errors and vibrations to high-speed cam …

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 …

Fractal interpolation is a contemporary technique to approximate numerous scientific
experiments and natural phenomena. For data sets in ℝ 2, the simplest and easy-to-handle …

The notion of hidden variable fractal interpolation provides a method to approximate
functions that are self-referential or non-self-referential, and consequently allows great …

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 …

This paper investigates some univariate and bivariate constrained interpolation problems
using fractal interpolation functions. First, we obtain rational cubic fractal interpolation …