Fractional differentiability of nowhere differentiable functions and dimensions

Details Fractional differentiability of nowhere differentiable functions and dimensions Fractional differentiability of nowhere differentiable functions and dimensions

1996-09-24

arxiv.org/abs/chao-dyn/9609016v2

Chaos 6 (1996) 505

Nonlinear Sciences

Chaotic Dynamics

minor changes, 19 pages, Latex

Scientific paper

10.1063/1.166197

Weierstrass's everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the `critical order' 2-s and not so for orders between 2-s and 1, where s, 1

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