We construct a generalized Cr-Fractal Interpolation Function (Cr-FIF) f by prescribing any
combination of r values of the derivatives f (k), k= 1, 2,\dots, r, at boundary points of the …

A new tuning-free subgrid-scale model, termed locally averaged scale-dependent dynamic
(LASDD) model, is developed and implemented in large-eddy simulations (LES) of stable …

In this paper we investigate from both a theoretical and a practical point of view the following
problem: Let s be a function from [0; 1] to [0; 1]. Under which conditions does there exist a …

This paper is a pre-step in conducting a restudy for an emerging theory in applied sciences,
namely Fractal interpolation. It is one of the best-fit models for capturing irregular data that …

FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS Page 1 Bull. Aust. Math.
Soc. 91 (2015), 435–446 doi:10.1017/S0004972715000064 FRACTAL INTERPOLATION …

Some recent advances in the application of fractal tools for studying complex signals are
presented. The first part of the paper is devoted to a brief description of the theoretical …

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 …

This paper introduces a univariate interpolation scheme using a binary parameter called
signature such that the graph of the interpolant—which we refer to as affine zipper fractal …

This paper proposes a new method for treating the inverse problem for Iterated Functions
Systems (IFS) using Genetic Programming. This method is based on two original aspects …

Fractal interpolation functions provide a new means for fitting experimental data and their
graphs can be used to approximate natural scenes. We first determine the conditions that a …