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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)』 ■ウィキペディアで「Dini criterion」の詳細全文を読む
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