集值函数的Henstock-Kurzweil积分

International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI:10.12988/IJMA.2014.410332

R. B. E. Wibowo, M. Muslikh

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引用次数: 3

摘要

She Xiang Hai, Fang Di Kong和Ji Shu Chen[12]研究了利用Henstock积分的紧凸集值的积分理论。本文的目的是给出一类更一般的集值函数的Henstock-Kurzweil可积性的类似表征。此外，我们还将Henstock-Kurzweil积分与Debrue[5]和Aumann积分[1]进行了比较。数学学科分类:28B20、26E25、54C60、54C65、58C06

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The Henstock-Kurzweil integral of set-valued function

A theory of integration of compact convex set-valued is provided by applying the Henstock integral has been studied by She Xiang Hai, Fang Di Kong and Ji Shu Chen [12]. The aim of this paper is to give a similar characterization of the Henstock-Kurzweil integrability for a more general class of set-valued function. Moreover, we compare the Henstock-Kurzweil integral with Debrue [5] and Aumann ones [1]. Mathematics Subject Classification: 28B20, 26E25, 54C60, 54C65, 58C06

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International Journal of Mathematical Analysis

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