| 关于最大熵与信息熵之差的上界讨论 |
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| 引用本文： | 李永新,朱石焕,余国林.关于最大熵与信息熵之差的上界讨论[J].大学数学,2010,26(5). |
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| 作者姓名： | 李永新 朱石焕 余国林 |
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| 基金项目： | 国家自然科学基金项目，宁夏自然科学基金项目 |
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| 摘 要： | 基于自信息函数为一可微凸函数这一事实,利用自信息函数所对应的Jenson离散型不等式,得到了有关最大熵与信息熵之差上界的一些结果.
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| 关 键 词： | 信息论 自信息 信息熵 凸函数 Jenson不等式 |
The Upper Bounds of the Defference between Maximum Entropy and Entropy of Information |
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| LI Yong-xin,ZHU Shi-huan,YU Guo-lin.The Upper Bounds of the Defference between Maximum Entropy and Entropy of Information[J].College Mathematics,2010,26(5). |
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| Authors: | LI Yong-xin ZHU Shi-huan YU Guo-lin |
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| Abstract: | Based upon the fact that the self-information function is a differentiable convex function,some results concerning the upper bounds of the difference between maximum entropy and entropy of information are proposed by using the counterpart of Jensen’s discrete inequality for self-information function. |
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| Keywords: | information theory self-information entropy of information convex functions Jenson’s inequality |
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