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

A general framework to construct fractal interpolation surfaces (FISs) on rectangular grids
was presented and bilinear FIS was deduced by Ruan and Xu (Bull Aust Math Soc 91 (3) …

The current article intends to study some elementary constrained approximation aspects of
the bivariate fractal functions. To this end, firstly the construction of bivariate 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] …

The present paper is concerned with the study of vector-valued interpolation functions on the
Sierpiński gasket by certain classes of fractal functions. This extends the known results on …

Assigning predefined classes to natural language texts, based on their content, is a
necessary component in many tasks in organizations. This task is carried out by classifying …

Abstract Iterated Function Systems (IFSs) have been at the heart of fractal geometry almost
from its origin, and several generalizations for the notion of IFS have been suggested …

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 …

An extension of the Banach fixed-point theorem for a sequence of maps on a complete
metric space (X, d) has been presented in a previous paper. It has been shown that …

This paper is concerned with interpolation subject to a strip condition on the first order
derivative using a class of rational cubic Fractal Interpolation Functions (FIFs). This facilitates …