Weierstrass i l'aproximació uniforme

Authors

  • Joan Cerdà

Abstract

Our aim is to present the Weierstrass theorem about uniform approximation of continuous functions by polynomials in the setting of the Weierstrass construction of the mathematical analysis, based on the representation of functions as sums of power series or of analytical functions, as well as his effort to introduce rigor with his program called arithmetization of analysis, that was on the basis of his criticism of Riemanns methods. We also include the most interesting proofs of the approximation theorem that appeared after the Weierstrass work, many of them by some of his students or followers.

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Published

2013-07-12

How to Cite

Cerdà, J. (2013). Weierstrass i l’aproximació uniforme. Butlletí De La Societat Catalana De Matemàtiques, 28(1), 51–85. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/81820.001

Issue

Vol. 28 No. 1 (2013)

Section

Articles

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