关于熵的连续性定理的证明

The Proof of a Theorem about Continuity of Entropy

介绍了信息论中熵的概念,给出了Probability and Mathematical Statistics书中一个引理,引理给出了熵的连续性,通过运用中值定理,给出了正确的证明.

In this paper,the concept of entropy in Information Theory is stated.The paper gives a lemma of the book of Probability and Mathematical Statistics.The lemma give us the continuity of the entropy.Though using mean value theorem,we give the correct proof.