函数运算的可交换性及次可交换性探讨

The commutativity and sub-commutativity of operation

讨论了在数学分析和实变函数课程中出现的可以交换运算次序而保持结果不变的函数运算,以及交换运算次序后能使得不等式成立的次可交换性的函数运算,为数学分析和实变函数的研究及教学提供参考.

This paper inductive the commutativity of operation by which equality will still hold true and the sub-commutativity of operation by which inequality will hold in mathematical analysis and real function analysis teaching.This will make students understand and remember these theorems more easily.