| 几类特殊函数关于复合运算封闭性的讨论 |
| |
| 引用本文： | 薛艳昉,喻丽菊.几类特殊函数关于复合运算封闭性的讨论[J].安庆师范学院学报(自然科学版),2014(2):12-15. |
| |
| 作者姓名： | 薛艳昉 喻丽菊 |
| |
| 作者单位： | 信阳师范学院 数学与信息科学学院,河南 信阳,464000;嘉兴学院 数理与信息工程学院,浙江 嘉兴,314001 |
| |
| 基金项目： | 国家自然科学基金项目(11201400,11301453);校青年基金项目(20120215,20120217,2013-NQ-057)资助 |
| |
| 摘 要： | 文章讨论了几类函数对复合运算的封闭性，证明了满足 Lipschitz条件的函数类、连续函数类及 Borel可测函数类对复合运算具有封闭性，对其他不满足封闭性的函数类，给出了相应的反例。
|
| 关 键 词： | 复合运算 绝对连续 可积 可测 |
Discussion on the Closeness of the Compound Calculation for Kinds of Speical Functions |
| |
| Institution: | XUE Yan-fang, YU Li-ju (1. College of Mathematics and Information Sciences, Xinyang Normal University, Xinyang 464000, China; 2. School of Mathematics Physics and Information Engineering, Jiaxing 314001 ,China) |
| |
| Abstract: | In this paper, the closeness of compound calculation is discussed for some special functions .It is proved that three kinds of function satisfied the closeness of compound calculation , which are the function contents Lipschitz condition , Borel meas-urable function and continuous function.Furthermore, some contrary examples are given for which is not fit for the closeness of compound calculation . |
| |
| Keywords: | compound calculation absolute continuous integrable measurable |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
