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。
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 .
出处
《安庆师范学院学报（自然科学版）》
2014年第2期12-15,共4页
Journal of Anqing Teachers College(Natural Science Edition)
基金
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
关键词
复合运算
绝对连续
可积
可测
compound calculation
absolute continuous
integrable
measurable
