STRONG DERIVATIVE AND THE ESSENTIALLY RIEMANN INTEGRAL

Immanuel D. Calunod; I. J. L. Garces

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STRONG DERIVATIVE AND THE ESSENTIALLY RIEMANN INTEGRAL

机译：强衍生物和基本上riemann积分

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We characterize the primitives of Riemann integrable functions using the concept of strong differentiability. We also introduce the notion of essentially Riemann integrable function and characterize it descriptively using its primitive. We also give a characterization of this function that parallels Lebesgue's criterion for Riemann integrability.

机译：我们使用强大可分性概念表征Riemann可积函数的原语。我们还介绍了基本上riemann可积函数的概念，并用它的原始描述它描述它。我们还表明了这种功能，使Lebesgue对Riemann可积累的标准相似。

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来源
《Real analysis exchange》 |2021年第1期|233-245|共13页
作者
Immanuel D. Calunod; I. J. L. Garces;
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作者单位

Department of Mathematics Xavier University -Ateneo de Cagayan Cagayan de Oro City The Philippines;

Department of Mathematics Ateneo de Manila University Quezon City The Philippines;

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原文格式 PDF
正文语种 eng
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关键词
strong derivative; Riemann integral; primitive of a Riemann integrable function; essentially Riemann integral; essentially continuous function; essentially bounded function;

机译：强衍生物;riemann积分;原始的riemann可积分功能;基本上是riemann积分;基本上是连续的功能;基本上有界功能;

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STRONG DERIVATIVE AND THE ESSENTIALLY RIEMANN INTEGRAL

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