| 一类函数列一致收敛性的研究 |
| |
| 引用本文： | 曾冠章.一类函数列一致收敛性的研究[J].江西科学,2009,27(6):781-783. |
| |
| 作者姓名： | 曾冠章 |
| |
| 作者单位： | 暨南大学经济学院统计系,广东,广州,510632 |
| |
| 摘 要： | 文献1]研究了形为{fn=n^kx^l/e^n^sx^t}的函数列一致收敛的几个例子。本文研究形为形式{fn=n^kx^l/e^n^sx^t}的函数列一致收敛的充要条件，在此基础上进一步研究和推广到这类函数列的导函数列和积分函数列一致收敛的条件。
|
| 关 键 词： | 充要条件 一致收敛 函数列 导函数列 积分函数列 |
The Research of Uniform Convergence about a Kind of Function Sequence |
| |
| ZENG Guan-zhang.The Research of Uniform Convergence about a Kind of Function Sequence[J].Jiangxi Science,2009,27(6):781-783. |
| |
| Authors: | ZENG Guan-zhang |
| |
| Institution: | ZENG Guan-zhang(Department of Statistics,School of Economics,Jinan University,Guangdong Guangzhou 510632) |
| |
| Abstract: | Studied some examples of uniform convergence about a kind of function sequence in the form of {fn=nkxlensxt}.In this paper,we consider the function sequence of {fn=nkxlensxt},including the necessary and sufficient condition of uniform convergence about this kind of function sequence.Then we extend the research to the condition of uniform convergence about the differential coefficient of the function sequence and also the integral of this function sequence. |
| |
| Keywords: | Necessary and sufficient condition Uniform convergence Function sequence Differential coefficient of function sequence Integral of function sequence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
