A survey on the Weierstrass approximation theorem

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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 first significant 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.
16 pages

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Classical Analysis and ODEs, Functional Analysis, 41, 41A10, 43A32, 47A56

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http://salesiana.dossiersoluciones.com/handle/123456789/160435

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611038
 http://arxiv.org/abs/math/0611038
 Divulgaciones Matematicas Vol. 16 No. 1(2008), pp. 231-247

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arXiv