Kiran M. Kolwankar, Anil D. Gangal
Fractional differentiability of nowhere differentiable
functions and dimensions
(23K, gzipped uuencoded LaTeX)
ABSTRACT. 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