Note on the Gibbs Phenomenon
Published online by Cambridge University Press: 24 October 2008
Extract
The Fourier series of the function defined by
is
and if
then
while
The expression (1) exceeds (2); this is the Gibbs phenomenon.
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- Articles
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 2 , April 1930 , pp. 158 - 169
- Copyright
- Copyright © Cambridge Philosophical Society 1930
References
* I owe this remark to a referee.
† Szegö, , Acta Scient. Univ. Hung. Szeged, 3 (1927), 17–24.Google Scholar
* The formal proof of this statement follows in a simple manner from the result of lemma 3.
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