Borel-Cantelli引理的一个推论

王福彪

(南京财经大学数学学院, 江苏 南京 210046)

在证明定理2之前首先证明一个引理.

(1)

定理2的证明先证左边不等式，由Cauchy-Schwarz不等式得

由引理得以下不等式

参考文献

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