Local a -fractal interpolation function

Banerjee, Akash ; Akhtar, Md. Nasim ; Navascués, M. A. (Universidad de Zaragoza)

Resumen: Constructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine α
- fractal functions in this article. A few examples of the graphs of these functions are provided. A fractal operator which takes the classical function to its local fractal counterpart is defined and some of its properties are also studied.

Idioma: Inglés

DOI: 10.1140/epjs/s11734-023-00865-x

Año: 2023

Publicado en: European Physical Journal-Special Topics 232, 7 (2023), 1043-1050
ISSN: 1951-6355

Factor impacto JCR: 2.6 (2023)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 37 / 112 = 0.33 (2023) - Q2 - T2

Factor impacto CITESCORE: 5.1 - Physical and Theoretical Chemistry (Q2) - Materials Science (all) (Q2) - Physics and Astronomy (all) (Q2)

Factor impacto SCIMAGO: 0.455 - Materials Science (miscellaneous) (Q2) - Physics and Astronomy (miscellaneous) (Q2) - Physical and Theoretical Chemistry (Q3)

Tipo y forma: Article (Published version)

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