Continuous Nowhere Differentiable Functions
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2014
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Abstract (EN)
ABSTRACT: In this thesis four interesting points of mathematical analysis are handled. At first, some examples of continuous nowhere differentiable functions are discussed. Secondly, the Lebesgue-Cantor singular function is considered, which is continuous but the fundamental theorem of calculus is not valid for this function. Next, space-filling functions, which are continuous surjections from the interval to the square, are considered. Finally, two examples of infinitely many times differentiable functions which are not analytic are considered. Keywords: mathematical analysis, continuous functions, differentiable functions, series, convergence. …………………………………………………………………………………………………………………………
Author
Jaafar Anwar H. Ameen
How to Cite
Jaafar Anwar H. Ameen (Master Thesis). Continuous Nowhere Differentiable Functions, 2014, Eastern Mediterranean University, Department of Mathematics.
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