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arXiv · 2206.12457

Probability Theoretic Generalizations of Hardy's and Copson's Inequality

Chris A. J. Klaassen
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Abstract

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.

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Chris A. J. Klaassen. 2022-06-24. Probability Theoretic Generalizations of Hardy's and Copson's Inequality. https://arxiv.org/abs/2206.12457

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