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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Abel's test ： ウィキペディア英語版 Abel's test In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after mathematician Niels Henrik Abel. There are two slightly different versions of Abel's test – one is used with series of real numbers, and the other is used with power series in complex analysis. Abel's uniform convergence test is a criterion for the uniform convergence of a series of functions dependent on parameters. == Abel's test in real analysis == Suppose the following statements are true: # $\backslash sum\; a\_n$ is a convergent series, # is a monotone sequence, and # is bounded. Then $\backslash sum\; a\_nb\_n$ is also convergent. It is important to understand that this test is mainly pertinent and useful in the context of non absolutely convergent series $\backslash sum\; a\_n$. For absolutely convergent series, this theorem, albeit true, is almost evident. 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「Abel's test」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.