| 关于严格单增绝对连续函数的反函数的绝对连续性 |
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| 引用本文： | 张玲.关于严格单增绝对连续函数的反函数的绝对连续性[J].南开大学学报,2003,36(1):124-125. |
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| 作者姓名： | 张玲 |
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| 作者单位： | 唐山师范学院数学系，河北唐山063000 |
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| 摘 要： | 讨论了严格单增绝对连续函数的反函数f^-1的绝对连续性，给出了充分必要条件，并且给出了一类f^-1不绝对连续的例子。
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| 关 键 词： | 严格单增绝对连续函数 反函数 零调集 Cantor集 绝对连续性 充分必要条件 |
| 文章编号： | 0465-7942(2003)01-0124-02 |
| 修稿时间： | 2001年6月19日 |
ON ABSOLUTE CONTINUITY OF INVERSE FUNCTIONS OF STRICTLY INCREASING AND ABSOLUTELY CONTINUOUS FUNCTIONS |
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| ZHANG Ling.ON ABSOLUTE CONTINUITY OF INVERSE FUNCTIONS OF STRICTLY INCREASING AND ABSOLUTELY CONTINUOUS FUNCTIONS[J].Acta Scientiarum Naturalium University Nankaiensis,2003,36(1):124-125. |
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| Authors: | ZHANG Ling |
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| Abstract: | In this paper the absolute continuity of the inverse function f -1 of a strictly increasing and absoutely continuous function f is discussed and a sufficient and necessary condition is given. Moreover a class of functions, in which the inverse functions are not absolutely continuous, is given. |
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| Keywords: | absolutely continuity null measure set Cantor set |
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