119823 20240319081005.0 doi 10.3390/fractalfract6100602 sideral 130659 ART-2022-130659 eng Navascués, María A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 Scale-free fractal interpolation 2022 Access copy available to the general public Unrestricted An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here. In such a manner, fractal interpolation functions associated with Matkowski contractions for finite as well as infinite (countable) sets of data are obtained. Furthermore, we construct an extension of the concept of α-fractal interpolation functions, herein called R-fractal interpolation functions, related to a finite as well as to a countable iterated function system and provide approximation properties of the R-fractal functions. Moreover, we obtain smooth R-fractal interpolation functions and provide results that ensure the existence of differentiable R-fractal interpolation functions both for the finite and the infinite (countable) cases. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 5.4 2022 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 9 / 107 = 0.084 2022 Q1 T1 0.627 2022 Analysis 2022 Q2 Statistics and Probability 2022 Q2 Statistical and Nonlinear Physics 2022 Q2 3.6 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Pacurar, Cristina Drakopoulos, Vasileios 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 6, 10 (2022), 602 [15 pp] Fractal fract. Fractal and fractional 2504-3110 358862 http://zaguan.unizar.es/record/119823/files/texto_completo.pdf Versión publicada 2689769 http://zaguan.unizar.es/record/119823/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:119823 articulos driver 2024-03-18-14:31:41 ARTICLE