What is it about?
The Riemann-Lebesgue Lemma is a widely used result in Fourier Analysis. This paper provides an interesting proof of the lemma by using the Weierstrass approximation theorem.
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Why is it important?
This article elucidates the power of approximation theorems. Moreover, it provides an excellent example of how approximation theorems can be used to solve complex mathematical problems. As the mathematical jargon is minimal, it can be used for undergraduate lectures.
Perspectives
This article is simply written so that even an undergraduate studying mathematics may understand it and may use a similar technique to solve more complex problems. Moreover, it can serve as an excellent example of the power of approximation theorems in mathematical lectures.
Suman Pal
Ecole Centrale de Nantes
Read the Original
This page is a summary of: 101.33 The application of the Weierstrass approximation theorem in the Riemann-Lebesgue lemma, The Mathematical Gazette, October 2017, Cambridge University Press,
DOI: 10.1017/mag.2017.135.
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