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| 复变量函数的一致可微性 | |
| 引用本文： | 钮宏霞. 复变量函数的一致可微性[J]. 鲁东大学学报, 2005, 21(1): 23-25 |
| 作者姓名： | 钮宏霞 |
| 作者单位： | 潍坊学院数学系 山东潍坊 |
| 摘 要： | 将实变量函数的一致可微性推广到复变量函数中,所得结果与实变量情形既有类似又有差别,并进一步研究了复函数一致可微与其导函数一致连续的关系、有界闭域上解析函数的无穷一致可微性以及函数一致可微可推出其本身一致连续的条件等. |
| 关 键 词： | 解析 一致可微(一致解析) 一致连续 |
| 文章编号： | 1004-4930(2005)01-0023-03 |
| 修稿时间： | 2004-09-10 |
Uniform Differentiability of Complex Variable Functions |
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| NIUHong-xia. Uniform Differentiability of Complex Variable Functions[J]. Ludong University Journal (Natural Science Edition), 2005, 21(1): 23-25 | |
| Authors: | NIUHong-xia |
| Abstract: | The uniform differentiability of functions of one real variable is extended into functions of one complex variable, and the obtained results have both analogy and difference comparing those of functions of one real variable. Further, the relations between the uniform differentiability of complex function and the uniform continuity of it's derivative are studied and the infinitely uniform differentiability of an analytic function in bounded closed region is also studied.The conditions are researched under which the uniform differentiability of function f(z) can conclud that f(z) is uniformly continuous. |
| Keywords: | analytic uniform differentiability (uniform analytic) uniformly continuous |
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