@article{Attia2024, 
author = {Najmeddine Attia and Rim Amami},
title = {On linear transformation of generalized affine fractal interpolation function},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {16848-16862},
keywords = {iterated function system, generalized affine fractal interpolation function, linear transformation},
url = {https://www.sciopen.com/article/10.3934/math.2024817},
doi = {10.3934/math.2024817},
abstract = {In this work, we investigate a class of generalized affine fractal interpolation functions (FIF) with variable parameters, where ordinate scaling is substituted by a real-valued control function. Let              S       be an iterated function system (IFS) with the attractor        G    Δ  , where    Δ is a given data set. We consider an affine transformation    ω  (  Δ  ) of    Δ, and we define the IFS                      S            ^       with the attractor        G          ω      (      Δ      )      . We give a sufficient condition so that        G          ω      (      Δ      )        =  ω  (      G    Δ    ). In addition, we compare the definite integrals of the corresponding FIF and study the additivity property. Some examples will be given, highlighting the effectiveness of our results.}
}