M. Ajtai, A. S. Kechris, The Set of Continuous Functions with the Everywhere Convergent Fourier Series, Transactions of the American Mathematical Society, Vol. 302 ...

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 ...

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