STRONG DERIVATIVES AND INTEGRALS

Brian S. Thomson

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STRONG DERIVATIVES AND INTEGRALS

机译：强大的派生和积分

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摘要

The strong derivative is not, without some caution, a useful tool in the study of McShane's (i.e., Lebesgue's) integral. Even so, the underlying structure of that process of derivation is closely connected to the formulation of the Riemann sums definition that McShane gave for his integral. This article discusses some of the features and traps for the study of those connections.

机译：毫无疑问，强导数并不是研究McShane（即Lebesgue）积分的有用工具。即使这样，该推导过程的基础结构也与麦克沙恩为其积分给出的黎曼和定义的定义紧密相关。本文讨论了研究这些连接的一些功能和陷阱。

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来源
《Real analysis exchange》 |2014年第2期|469-488|共20页
作者
Brian S. Thomson;
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作者单位

Department of Mathematics, Simon Fraser University, B.C., Canada V5A1S6;

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正文语种 eng
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关键词
inner variation; Riemann integral; McShane integral; Lebesgue integral; Henstock-Kurzweil integral; strong derivative;

机译：内部变化黎曼积分McShane积分;勒贝格积分;Henstock-Kurzweil积分;强导数;

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STRONG DERIVATIVES AND INTEGRALS

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