arXiv:1012.4228 Abstract | arXiv Analytics

arXiv:1012.4228 [math.DS]Abstract References Reviews Resources

Further Notes on a Family of Continuous, Non-differentiable Functions

Published 2010-12-20, updated 2016-02-03Version 4

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.

Comments: 8 pages, 0 figures

Journal: New York J. Math. 17 (2011) 569-577

Categories: math.DS, math.FA

Subjects: 26A30, 37C45

Keywords: non-differentiable functions, continuous, hausdorff dimension, specific questions regarding

Tags: journal article

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