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数学分析拾遗[4]——含参广义积分的一致收敛 | Zhechen's Personal Website #65

Open lzcwr opened 6 years ago

lzcwr commented 6 years ago

https://www.lizhechen.com/2018/03/27/%E6%95%B0%E5%AD%A6%E5%88%86%E6%9E%90%E6%8B%BE%E9%81%97-4-%E2%80%94%E2%80%94Abel%E5%88%A4%E5%88%AB%E6%B3%95%E4%B8%8EDirichlet%E5%88%A4%E5%88%AB%E6%B3%95/

含参广义积分一致收敛性的常用判断方法是M判别法, 但M判别法太强, 适用面窄. 故在被积函数取绝对值后不一致收敛时, 常用以下的两种判别法:

Abel判别法; Dirichlet判别法.