Geodesic
The Weierstrass theorem on polynomial approximation
Mathematica Bohemica, Tome 130 (2005) no. 2, pp. 161-166.

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In the paper a simple proof of the Weierstrass approximation theorem on a function continuous on a compact interval of the real line is given. The proof is elementary in the sense that it does not use uniform continuity.
DOI : 10.21136/MB.2005.134132
Classification : 41-01, 41A10
Keywords: approximation by polynomials 
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Výborný, Rudolf. The Weierstrass theorem on polynomial approximation. Mathematica Bohemica, Tome 130 (2005) no. 2, pp. 161-166. doi : 10.21136/MB.2005.134132. http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134132/

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