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Dini criterion : ウィキペディア英語版
Dini criterion

In mathematics, Dini's criterion is a condition for the pointwise convergence of Fourier series, introduced by .
==Statement==
Dini's criterion states that if a periodic function ' has the property that is locally integrable near , then the Fourier series of converges to 0 at  = .
Dini's criterion is in some sense as strong as possible: if is a positive continuous function such that is not locally integrable near , there is a continuous function ' with || ≤  whose Fourier series does not converge at .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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