Scale-free fractal interpolation

Navascués, María A. (Universidad de Zaragoza) ; Pacurar, Cristina ; Drakopoulos, Vasileios

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/fractalfract6100602

Año: 2022

Publicado en: Fractal and fractional 6, 10 (2022), 602 [15 pp]
ISSN: 2504-3110

Factor impacto JCR: 5.4 (2022)

Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 9 / 107 = 0.084 (2022) - Q1 - T1

Factor impacto CITESCORE: 3.6 - Mathematics (Q1) - Physics and Astronomy (Q2)

Factor impacto SCIMAGO: 0.627 - Analysis (Q2) - Statistics and Probability (Q2) - Statistical and Nonlinear Physics (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)