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ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES.
- Source :
-
Bulletin of the Australian Mathematical Society . Dec2022, Vol. 106 Issue 3, p470-480. 11p. - Publication Year :
- 2022
-
Abstract
- Based on the work of Mauldin and Williams ['On the Hausdorff dimension of some graphs', Trans. Amer. Math. Soc. 298 (2) (1986), 793–803] on convex Lipschitz functions, we prove that fractal interpolation functions belong to the space of convex Lipschitz functions under certain conditions. Using this, we obtain some dimension results for fractal functions. We also give some bounds on the fractal dimension of fractal functions with the help of oscillation spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 106
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 160253260
- Full Text :
- https://doi.org/10.1017/S0004972722000685