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MATHEMATICA BOHEMICA, Vol. 130, No. 2, pp. 161-166 (2005)
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The Weierstrass theorem on polynomial approximation

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Rudolf Vyborny

* Rudolf Vyborny*, 15 Rialanna Street, Kenmore, Qld 4069, Australia e-mail: ` rudolf.vyborny@mailbox.uq.edu.au`

**Abstract:** 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.

**Keywords:** approximation by polynomials

**Classification (MSC2000):** 41A10

**Full text of the article:**

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