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The Bounded Convergence Theorem
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2020-05-21 , DOI: 10.1080/00029890.2020.1736470
Brian S. Thomson 1
Affiliation  

Abstract We revisit the nineteenth-century version of the bounded convergence theorem formulated by C. Arzelà in 1885 for Riemann integrable functions and, independently, by W. F. Osgood in 1897 for continuous functions.

中文翻译:

有界收敛定理

摘要 我们重新审视了 1885 年 C. Arzelà 为黎曼可积函数制定的有界收敛定理的 19 世纪版本,以及 WF Osgood 在 1897 年独立为连续函数制定的有界收敛定理。
更新日期:2020-05-21
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