| 导数新定义间相互关系的进一步研究 |
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| 引用本文： | 刘海鸿,杨玉红.导数新定义间相互关系的进一步研究[J].云南师范大学学报(自然科学版),2001,21(2):25-27. |
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| 作者姓名： | 刘海鸿 杨玉红 |
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| 作者单位： | 云南师范大学数学系,云南 昆明 650092 |
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| 摘 要： | 文章继文（1）进一步讨论了导数新定义间相互联系，特别当f(x)为U(x0)内有界可测函数的条件下，证明了定义5真包含定义2，并由引理给出了Riemann上、下积分与Lebesgue积分之间的关系。
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| 关 键 词： | 定义 导数 Dini导数 Riemann上积分 Riemann下积分 |
| 文章编号： | 1007-9793(2001)02-25-03 |
| 修稿时间： | 2000年12月25 |
The further research of
the new defining of the derivative and their relation |
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| Abstract: | In this paper the author gives the relation between defining 5and defining 2 of the derivative, which is studied in 1]by Lu. The relation is that if f: R→R is a measurable and bounded funcation in U(x0), the neighbour of x0, the defining 5 generalizes defining 2 ferthermore, the author give out the relation between the up(down)-Riemann integral and the Lebesgue integral. |
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| Keywords: | defining derivate integral Dini-derivate |
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