A survey on the Weierstrass approximation theorem

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dc.creatorPerez, Dilcia
dc.creatorQuintana, Yamilet
dc.date2006-11-02
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:37:22Z
dc.date.available2026-07-07T09:37:22Z
dc.descriptionThe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0611038
dc.identifierhttp://arxiv.org/abs/math/0611038
dc.identifierDivulgaciones Matematicas Vol. 16 No. 1(2008), pp. 231-247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160435
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject41, 41A10, 43A32, 47A56
dc.titleA survey on the Weierstrass approximation theorem
dc.typetext

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