新近发展的反常积分定义中变量的允许变化
Allowable Changes of Variable for Recently Developed Improper Integral Definitions
摘要：
给出了在使用“无穷极限反常积分的另一种定义”（arXiv：0805.3559v1）和“有限极限反常积分的另一种定义”（arXiv：0810.4654v1）中给出的反常积分新定义时，积分变量发生变化的充分条件.当初积分和终积分都存在时，这些变量的变换是有效的。一般来说，其中一个积分的存在并不保证另一个积分的存在。在变量变化的有限集合中，任一积分的存在保证了另一积分的存在。
英文摘要：
Sufficient conditions for performing changes of the variable of integration when using the new definitions of improper integrals given in in "An Alternative Definition for Improper Integral with Infinite Limit" (arXiv:0805.3559v1) and "An Alternative Definition for Improper Integral with Finite Limits" (arXiv:0810.4654v1) are presented. These changes of variable are valid when both the initial and final integrals exist. In general, the existence of one of the integrals does not guarantee the existence of the other. In a restricted set of changes of variable, the existence of either integral guarantees existence of the other.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
