Fractal Dimensions and Approximations of Fractal Interpolation Functions
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Date
2016
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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].
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Supervisor: M. Guru Prem Prasad
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MATHEMATICS