Lebesgue积分迫敛性定理及其应用

Lebesgue Squeeze Theorem and Its Applications

利用数列上极限、下极限性质及Fatou引理得到类似于数列迫敛性定理的Lebesgue积分迫敛性定理,举例说明Lebesgue积分迫敛性定理的运用.

Based on sequence of upper limit, lower limit properties and Fatou lemma, the paper attains Lebesgue squeeze theorem which is similar to the sequence squeeze theorem, and an example illustrating the application of the Lebesgue squeeze theorem is also given in the paper.