In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...

, Juan J. Font, Linear Isometries Between Subspaces of Continuous Functions, Transactions of the American Mathematical Society, Vol. 349, No. 1 (Jan., 1997), pp. 413-428 ...

Technical Terms Bernstein polynomials: Polynomial functions that serve as building blocks for approximating continuous functions on closed intervals.