| 连续函数的δ导数与性质 |
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| 引用本文： | 王文丽.连续函数的δ导数与性质[J].汕头大学学报(自然科学版),2004,19(1):19-23. |
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| 作者姓名： | 王文丽 |
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| 作者单位： | 汕头大学数学系,汕头,515063 |
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| 基金项目： | 广东省自然科学基金 ( No.0 32 0 35) |
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| 摘 要： | 引入了连续函数的 δ导数新概念 ,研究表明 ,在采样点无限增多的情形下 ,它与有限离散函数导数概念相一致 ;在极限情形下 ,它与常规意义下连续函数导数概念相一致 .它具有与常规意义下导数相类似的性质
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| 关 键 词： | 离散函数 δ导数 最佳平均逼近直线 |
| 文章编号： | 1001-4217(2004)01-0019-05 |
| 修稿时间： | 2003年10月15 |
The δ-Derivative and Properties of Continuous Function |
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| WANG Wen-li.The δ-Derivative and Properties of Continuous Function[J].Journal of Shantou University(Natural Science Edition),2004,19(1):19-23. |
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| Authors: | WANG Wen-li |
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| Abstract: | The δ-derivative and properties of continuous function are discuss ed in this paper.It shows that the δ-derivative is identical with the derivative of finite discrete function when the sample points are increased. It is also identical with the conventional derivative under the limit case.It po ssesses the properties similar to the conventional derivative. |
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| Keywords: | finite discrete function δ-derivative optimum mean approximating line |
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