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| 抽象函数的黎曼可积性 | |
| 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 |
| 作者姓名： | 周美秀 |
| 作者单位： | 浙江长征职业技术学院,浙江,杭州,310023 |
| 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. |
| 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 | |
| Authors: | ZHOU Meixiu |
| Affiliation: | Zhejiang Changzheng Professional Technical College, Hangzhou Zhejiang 310023, China |
| 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. |
| Keywords: | abstract function Riemannian integrability right or left limits net convergence |
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