This paper explores the integral transform of two distinct fractalinterpolationfunctions, namely the linear fractalinterpolation function and the hidden variable fractalinterpolation function with variable scaling...
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This paper explores the integral transform of two distinct fractalinterpolationfunctions, namely the linear fractalinterpolation function and the hidden variable fractalinterpolation function with variable scaling factors. Further, with a particular application of kernel functions, we investigate the integral transform of fractalfunctions, such as the Laplace transform and the Laplace Carson transform. Moreover, we show that the compositeness of two fractalinterpolationfunctions, f1 in {t8, x8} and f2 in {x8, z8} remains a fractalinterpolation function. It also generates iterated function system from given iterated function systems. In addition to this, the study is carried out on the composite linear fractalinterpolation function of the integral transform, the Laplace transform, and the Laplace Carson transform. (c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
In this paper, we construct the compositefractalinterpolation function and prove that the compositeness of two general fractalinterpolationfunctions is still a fractalinterpolation function. And its generating it...
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In this paper, we construct the compositefractalinterpolation function and prove that the compositeness of two general fractalinterpolationfunctions is still a fractalinterpolation function. And its generating iterated function system is obtained from given iterated function systems. Finally, the box dimension of the compositefractalinterpolation function is discussed. We give an inequality estimate of the upper and lower box dimensions of the compositefractalinterpolation function.
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