PhD Theses (Mathematics)

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Browsing PhD Theses (Mathematics) by Author "Akhtar, Nasim"

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    Fractal Dimensions and Approximations of Fractal Interpolation Functions
    (2016) Akhtar, Nasim
    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].