| 有界函数的导数 |
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| 引用本文： | 冯春强,徐裕生,刘勇,苑文法.有界函数的导数[J].纺织高校基础科学学报,2007,20(2):143-145,148. |
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| 作者姓名： | 冯春强 徐裕生 刘勇 苑文法 |
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| 作者单位： | 西安建筑科技大学,理学院,陕西,西安,710055 |
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| 基金项目： | Supported by Scientific Research Fund of Shanxi provincial Education Depart ment(03JK065) |
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| 摘 要： | 讨论复数域上有界正则函数的导数估计问题(上界问题),利用有界函数的性质、最大模原理及归纳法,得到有界正则函数及正则正实部函数五阶导数估计式,并由此得到有界正则函数的n阶导数估计式,并推断出正则的正实部函数的阶导数估计式,从而将有界函数的导数估计从特殊推广到一般.
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| 关 键 词： | 有界函数 正则函数 正实部函数 最大模原理 估计 |
| 文章编号： | 1006-8341（2007）02-0143-03 |
| 收稿时间： | 2006-10-24 |
| 修稿时间： | 2006-10-24 |
The derivation of bounded functions |
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| FENG Chun-qiang,XU Yu-sheng,LIU Yong,YUAN Wen-fa.The derivation of bounded functions[J].Basic Sciences Journal of Textile Universities,2007,20(2):143-145,148. |
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| Authors: | FENG Chun-qiang XU Yu-sheng LIU Yong YUAN Wen-fa |
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| Abstract: | In this paper,we mainly discuss the problem of estimating the derivation of bounded functions.A general estimation of the nth derivation of regular function is presented by using the maximum modulus principle and the properties of the bounded functions.Hence,the results of bounded regular functions have been given from special to general. |
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| Keywords: | bounded functions regular functions positive real part functions maximum modulus principle estimation |
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