Further Notes on a Family of Continuous, Non-differentiable Functions
Dynamical Systems
2016-02-04 v4 Functional Analysis
Abstract
We examine a parameterized family of functions F_a, all of which are continuous and some of which are nowhere or almost nowhere differentiable, we explore the behavior of F'_a and F"_a almost everywhere for different values of a, focusing on specific questions regarding F_a's differentiability for certain a, and we calculate the Hausdorff dimension of the graphs of all F_a.
Cite
@article{arxiv.1012.4228,
title = {Further Notes on a Family of Continuous, Non-differentiable Functions},
author = {Joey McCollum},
journal= {arXiv preprint arXiv:1012.4228},
year = {2016}
}
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8 pages, 0 figures