| 关于对数积分的基本理论 |
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| 引用本文： | 郑一.关于对数积分的基本理论[J].青岛理工大学学报,2002,23(3):84-89. |
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| 作者姓名： | 郑一 |
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| 作者单位： | 青岛建筑工程学院基础部,青岛,266520 |
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| 摘 要： | 提出了实对数导数与对数积分的基本理论 ,证明了实对数导数和对数积分与 (常义 )导数和积分的关系及充要条件 ,所得到的定理与公式在实数域内对处理函数乘、除、乘方、开方及复合函数的性质具有独特的优势 .实对数导数与对数积分的基本理论是对经典微积分理论的扩充
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| 关 键 词： | 常义导数 实对数导数 对数导数 对数积分 充要条件 基本理论 |
| 修稿时间： | 2002年4月3日 |
The Basic Theories on the Logarithmic Integral |
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| Zheng Yi.The Basic Theories on the Logarithmic Integral[J].Journal of Qingdao Technological University,2002,23(3):84-89. |
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| Authors: | Zheng Yi |
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| Abstract: | In the scientific researches, the basic theories on the real logarithmic derivative and the logarithmic integral are established. In this paper, the necessary and sufficient conditions, relations between the real logarithmic derivative, logarithmic integral and the common derivative, the integral are proved. The obtained theorems and formulas provide some original characteristics in solving product, quotient, power, radical and composition of functions. The basic theories on the real logarithmic derivative and the logarithmic integral expand in the classical calculus. |
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| Keywords: | common derivative real logarithmic derivative logarithmic derivative logarithmic integral necessary and sufficient condition basic theory |
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