Fractal Dimensions and Approximations of Fractal Interpolation Functions

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dc.contributor.author Akhtar, Nasim
dc.date.accessioned 2017-08-10T07:25:58Z
dc.date.available 2017-08-10T07:25:58Z
dc.date.issued 2016
dc.identifier.other ROLL NO.11612310
dc.identifier.uri http://gyan.iitg.ernet.in/handle/123456789/822
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.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


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