| 近似连续C-可积函数的原函数刻画(英文) |
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| 引用本文： | 赵大方,胡长松. 近似连续C-可积函数的原函数刻画(英文)[J]. 数学杂志, 2010, 30(3) |
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| 作者姓名： | 赵大方 胡长松 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北,黄石,435002 |
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| 基金项目： | Supported by Science Foundation of Hubei Normal University(2007D41) |
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| 摘 要： | 本文研究了近似连续C-可积函数的原函数问题.利用近似连续C-积分的有关性质,得到了函数近似C-可积的一个充分必要条件,推广了B.Bongiorno等人的工作.
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| 关 键 词： | ap-C积分 近似导数 原函数 |
THE CHARACTERIZATION OF THE PRIMITIVES OF APPROXIMATELY CONTINUOUS C-INTEGRABLE FUNCTIONS |
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| ZHAO Da-fang,HU Chang-gong. THE CHARACTERIZATION OF THE PRIMITIVES OF APPROXIMATELY CONTINUOUS C-INTEGRABLE FUNCTIONS[J]. Journal of Mathematics, 2010, 30(3) |
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| Authors: | ZHAO Da-fang HU Chang-gong |
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| Affiliation: | ZHAO Da-fang,HU Chang-song (School of Math., Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | In this article,we study the primitive of the approximately continuous C-integrable functions.By using properties of the approximately continuous C-integral,we obtain a necessary and sufficient condition for the approximately continuous C-integrable problems.These are the generalizations of the results of B.Bongiorno and others. |
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| Keywords: | ap-C integral approximate derivative primitive |
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