Further Notes on a Family of Continuous, Non-differentiable Functions
Abstract
We examine a parameterized family of functions Fa, 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 Fa's differentiability for certain a, and we calculate the Hausdorff dimension of the graphs of all Fa.
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