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Anthony W. Hager, Approximation Theorems for Uniformly Continuous Functions, Transactions of the American Mathematical Society, Vol. 236 (Feb., 1978), pp. 263-273 ...
On the Product of two Uniformly Continuous Functions on the Line Ernest S. Elyash, George Laush and Norman Levine The American Mathematical Monthly , pp. 265-267 (3 pages) ...
Technical Terms Bernstein polynomials: Polynomial functions that serve as building blocks for approximating continuous functions on closed intervals.