| 抽象函数的黎曼可积性 |
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| 引用本文： | 周美秀.抽象函数的黎曼可积性[J].浙江师范大学学报(自然科学版),2006,29(3):266-268. |
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| 作者姓名： | 周美秀 |
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| 作者单位： | 浙江长征职业技术学院,浙江,杭州,310023 |
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| 摘 要： | 区间a,b]上几乎处处存在右(或左)极限的抽象函数是黎曼可积的.在Banach空间上给出了抽象函数黎曼可积的一个新的充分条件,改进和推广了相应的结果.
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| 关 键 词： | 抽象函数 黎曼可积 左(右)极限 网收敛 |
| 文章编号： | 1001-5051（2006）03-0266-03 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006-05-21 |
Riemannian integrability of abstract functions |
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| ZHOU Meixiu.Riemannian integrability of abstract functions[J].Journal of Zhejiang Normal University Natural Sciences,2006,29(3):266-268. |
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| Authors: | ZHOU Meixiu |
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| Institution: | Zhejiang Changzheng Professional Technical College, Hangzhou Zhejiang 310023, China |
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| Abstract: | It is known that abstract functions defined on interval \,which have right or left limit everywhere are Riemannian integrable.It was proposed a new sufficient conditon of Riemannian integrability for abstract functions in Banach spaces,which improved and generalized the corresponding results in references. |
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| Keywords: | abstract function Riemannian integrability right or left limits net convergence |
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