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What could I say when asked to "comment on the accuracy of Fourier series at discontinuities"? It is very vague, though I reckon it alludes to the W-G phenomenon. I have read the wiki page on Gibbs phenomenon, but I don't know what to say about the accuracy. Thanks in advance!

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    Well, if it wiggles so much in the vicinity of the discontinuities of the function being approximated, then...2011-09-23
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    @J.M.: I know that the accuracy at the discontinuities would be quite bad, but is there a more quantitative comment?2011-09-23
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    Ah, then you'll like [this](http://dsec.pku.edu.cn/~tieli/notes/numer_anal/SIAMRev_39_644.pdf)...2011-09-23
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    Have you seen [Wikipedia section's Formal mathematical description of the phenomenon](http://en.wikipedia.org/wiki/Gibbs_phenomenon#Formal_mathematical_description_of_the_phenomenon)?2011-09-23

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