Fractal Dimensions and Approximations of Fractal Interpolation Functions
| dc.contributor.author | Akhtar, Nasim | |
| dc.date.accessioned | 2017-08-10T07:25:58Z | |
| dc.date.accessioned | 2023-10-20T12:30:42Z | |
| dc.date.available | 2017-08-10T07:25:58Z | |
| dc.date.available | 2023-10-20T12:30:42Z | |
| dc.date.issued | 2016 | |
| dc.description | Supervisor: M. Guru Prem Prasad | en_US |
| dc.description.abstract | A fractal set is a union of many smaller copy of itself and it has a highly irregular structure. Using Hutchinson's operator, Barnsley [6], introduced Fractal Interpolation Function (FIF) via certain Iterated Function System (IFS). The FIF is continuous and self-a ne in nature. By de ning IFS suitably, one can construct various form of fractal functions including non-self-a ne and partially self-a ne (and partially non-self-a ne) FIFs. For any continuous function f, the corresponding fractal analogue f is non-selfa ne, continuous, nowhere di erentiable function [62,63]. | en_US |
| dc.identifier.other | ROLL NO.11612310 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/822 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-1574; | |
| dc.subject | MATHEMATICS | en_US |
| dc.title | Fractal Dimensions and Approximations of Fractal Interpolation Functions | en_US |
| dc.type | Thesis | en_US |