论文标题
Hardy和Copson的不平等的概率理论概括
Probability Theoretic Generalizations of Hardy's and Copson's Inequality
论文作者
论文摘要
$ p $ norms的简短证明了经典的哈迪不平等现象，$ p> 1 $。按照此证明的方式，尖锐的版本证明了最近对Hardy在概率理论术语中的不平等现象的概括。还讨论了科普森不平等的概率理论版本。还证明了$ 0 <p <1 $ $概率的理论概括和科普森不平等现象。
A short proof of the classic Hardy inequality is presented for $p$-norms with $p>1$. Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy's inequality in the terminology of probability theory. A probability theoretic version of Copson's inequality is discussed as well. Also for $0<p<1$ probability theoretic generalizations of the Hardy and the Copson inequality are proved.
