| 向量值函数的有界变差 |
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| 引用本文： | 董立华. 向量值函数的有界变差[J]. 广西师范学院学报(自然科学版), 2004, 21(1): 42-45 |
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| 作者姓名： | 董立华 |
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| 作者单位： | 德州学院,数学系,山东,德州,253023 |
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| 摘 要： | 向量值函数的有界变差与弱有界变差是等价的，强有界变差一定是有界变差的，反之不然．文中还指出强、弱有界变差的条件，及特殊情形下强、弱有界变差可以等价．
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| 关 键 词： | 强有界变差 弱有界变差 有界变差 |
| 文章编号： | 1002-8743(2004)01-0042-04 |
| 修稿时间： | 2003-11-27 |
Bounded Variation of Vector-valued Functions |
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| DONG Li-hua. Bounded Variation of Vector-valued Functions[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2004, 21(1): 42-45 |
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| Authors: | DONG Li-hua |
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| Abstract: | Bounded varization and weak bounded variation of vector-valued functions is equivalent.And strong bounded variation is (weak) bounded variation,but the converse is not true.In this paper,we discussed the condition of strong,weak bounded variation,then proved the equivalance of strong bounded variation and weak bounded variation in the special case. |
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| Keywords: | strong bounded variation weak bounded variation bounded variation |
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