| 摘要: |
| 本文研究了高维空间中C-积分的有关性质.利用被积函数的可测性质,证明了若函数在IO上C-可积,则存在IO上的一个部分,使得函数在该部分上Lebesgue可积.推广了文献[6]中的结论. |
| 关键词: C-积分 McShane积分 部分 |
| DOI： |
| 分类号:O174.1 |
| 基金项目:Supported by Science Foundation of Hubei Normal University (2007D41); Natural Science Foundation of Hubei Province of China (2007ABA124) |
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| A NOTE ON THE C-INTEGRAL |
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ZHAO Da-fang,LI Bi-wen
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ZHAO Da-fang,LI Bi-wen(School of Math.and Statistics,Hubei Normal University,Huangshi 435002,China)
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| Abstract: |
| In this article, we study the higher dimensional C-integral. By using the measurability of the integrand, we prove that a C-integrable function f on an m-dimensional compact interval is Lebesgue integrable on a portion of the interval, which extends the results in [6]. |
| Key words: C-integral McShane integral portion |
