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信息论中几个重要不等式关系的讨论
引用本文:游雪肖,赵大方.信息论中几个重要不等式关系的讨论[J].高师理科学刊,2012(4):35-37.
作者姓名:游雪肖  赵大方
作者单位:湖北师范学院数学与统计学院,湖北黄石435002
摘    要:信息论中许多不等式结论的证明都是利用对数不等式、对数和不等式、Jensen不等式、熵极值不等式进行证明的,对4个不等式的关系进行了讨论,并进行了严格的证明.

关 键 词:对数不等式  对数和不等式  Jensen不等式  熵极值不等式

The relations among several important inequalities in information theory
YOU Xue-xiao,ZHAO Da-fang.The relations among several important inequalities in information theory[J].Journal of Science of Teachers'College and University,2012(4):35-37.
Authors:YOU Xue-xiao  ZHAO Da-fang
Institution:(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)
Abstract:The proofs of some inequality in information theory rely heavily on logarithmic inequality,log sum inequality,Jensen inequality and entropy extremum inequality.Discussed and prove the relations among all four inequalities.
Keywords:logarithmic inequality  log sum inequality  Jensen inequality  entropy extremum inequality
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