Fractal interpolation: a sequential approach

Vijender N. ; Navascués M.A. (Universidad de Zaragoza)

Resumen: Fractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation functions which converge to a data generating (original) function for any choice of the scaling factors. Consequently, our method offers an alternative to the existing fractal interpolation functions (FIFs). We construct a sequence of a-FIFs using a suitable sequence of iterated function systems (IFSs). Without imposing any condition on the scaling vector, we establish constrained interpolation by using fractal functions. In particular, the constrained interpolation discussed herein includes a method to obtain fractal functions that preserve positivity inherent in the given data. The existence of Cr- a- FIFs is investigated. We identify suitable conditions on the associated scaling factors so that a-FIFs preserve r-convexity in addition to the Cr- smoothness of original function. © 2021, Editorial Committee of Applied Mathematics.

Idioma: Inglés

DOI: 10.1007/s11766-021-3635-7

Año: 2021

Publicado en: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B 36, 3 (2021), 330-341
ISSN: 1005-1031

Factor impacto JCR: 0.657 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 244 / 267 = 0.914 (2021) - Q4 - T3

Factor impacto CITESCORE: 1.1 - Mathematics (Q3)

Factor impacto SCIMAGO: 0.177 - Applied Mathematics (Q4)

Tipo y forma: Article (Published version)

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