Non-Stationary a-Fractal Surfaces

Navascués, M.A. (Universidad de Zaragoza) ; Verma, S.

Resumen: In this paper, we define non-stationary fractal interpolation surfaces on a rectangular domain and give some upper bounds for their fractal dimension. Next, we define a fractal operator associated with the non-stationary fractal surfaces, and study some properties of it. In particular, we hint at the existence of a Schauder basis consisting of non-stationary fractal functions.

Idioma: Inglés

DOI: 10.1007/s00009-022-02242-9

Año: 2023

Publicado en: Mediterranean Journal of Mathematics 20, 1 (2023), 48 [18 pp.]
ISSN: 1660-5446

Factor impacto JCR: 1.1 (2023)

Categ. JCR: MATHEMATICS rank: 98 / 490 = 0.2 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 163 / 332 = 0.491 (2023) - Q2 - T2

Factor impacto CITESCORE: 1.8 - Mathematics (all) (Q2)

Factor impacto SCIMAGO: 0.604 - Mathematics (miscellaneous) (Q2)

Tipo y forma: Artículo (Versión definitiva)

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