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

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

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