Abstract

The aim of present paper is to obtain Shannon type inequalities using the extended version of Jensen’s inequality in time scales settings. The concept of differential entropy of a continuous random variable on time scales is introduced, and its bounds for some particular distributions are also estimated.

中文翻译：

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时间尺度理论的香农型不等式

摘要

本文的目的是在时标设置中使用延森不等式的扩展版本来获得香农型不等式。引入了时间尺度上连续随机变量的微分熵的概念，并估计了其在某些特定分布上的边界。