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Uniform absolute continuity : ウィキペディア英語版
Uniform absolute continuity
In mathematical analysis, a collection \mathcal of real-valued and integrable functions is uniformly absolutely continuous, if for every \epsilon > 0, there exists \delta>0 such that for any measurable set E, \mu(E)<\delta implies
: \int_E \!|f|\, \mathrm\mu < \epsilon
for all f\in \mathcal .
==See also==

* Absolute continuity
* Uniform integrability

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「Uniform absolute continuity」の詳細全文を読む



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