Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908780944424960 |
|---|---|
| author | T, Aiswarya Prasad, Srijanani Anurag |
| author_facet | T, Aiswarya Prasad, Srijanani Anurag |
| contents | This paper presents the construction of a hidden variable fractal interpolation function using Edelstein contractions in an iterated function system based on a finite collection of data points. The approach incorporates an iterated function system where variable functions act as vertical scaling factors leading to a generalised vector-valued fractal interpolation function. Furthermore, the paper rigorously examines the smoothness of the constructed function and establishes an upper bound for the box-counting dimension of its graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function T, Aiswarya Prasad, Srijanani Anurag Dynamical Systems This paper presents the construction of a hidden variable fractal interpolation function using Edelstein contractions in an iterated function system based on a finite collection of data points. The approach incorporates an iterated function system where variable functions act as vertical scaling factors leading to a generalised vector-valued fractal interpolation function. Furthermore, the paper rigorously examines the smoothness of the constructed function and establishes an upper bound for the box-counting dimension of its graph. |
| title | Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.15658 |