| 关于四类函数的几个结论简 |
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| 引用本文： | 杨明顺.关于四类函数的几个结论简[J].渭南师范学院学报,2014(3):16-18. |
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| 作者姓名： | 杨明顺 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南714099 |
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| 基金项目： | 陕西省教育厅科学研究计划（自然科学专项）项目：关于F.Smarandache数论问题的计算机辅助研究（2013JK1165）;渭南师范学院教改项目：大学数学教学改革的探索与实践（JG201345） |
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| 摘 要： | 利用初等及组合方法对连续函数、单调函数、有界变差函数、绝对连续函数的关系进行了探讨．得出了绝对连续函数一定是有界变差函数，单调函数是有界变差函数，绝对连续函数一定是连续函数的结论．
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| 关 键 词： | 连续函数 单调函数 有界变差函数 绝对连续函数 |
On Several Conclusions about Four Kinds of Functions |
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| YANG Ming-shun.On Several Conclusions about Four Kinds of Functions[J].Journal of Weinan Teachers College,2014(3):16-18. |
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| Authors: | YANG Ming-shun |
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| Institution: | YANG Ming-shun (School of Mathematics and Information Science, Weinan Normal University, Weinan 714099, China) |
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| Abstract: | The paper, based on the elementary function and the combinatorial method, discussed the relation between the con- tinuous function, the monotonic function, the bounded variation function and the definitely continuous function. It proved that the absolute continuous function must be the bounded variation function, monotone function is a function of bounded variation, and ab- solutely continuous function is a continuous function. |
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| Keywords: | continuous function monotonic function bounded variation function definitely continuous function |
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