A survey on the Weierstrass approximation theorem

By Dilcia Pérez, Yamilet Quintana. 2006

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The celebrated and famous Weierstrass approximation theorem characterizes the set of continuous functions on a compact interval via uniform approximation by algebraic polynomials. This theorem is the flrst signiflcant result in Approximation Theory of one real variable and plays a key role in the development of General Approximation Theory. Our aim is to investigate some new results relative to such theorem, to present a history of the subject, and to introduce some open problems.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

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