An improved discrete Hardy inequality

Matthias Keller; Yehuda Pinchover; Felix Pogorzelski

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arXiv · 1612.05913

An improved discrete Hardy inequality

Matthias Keller·Yehuda Pinchover·Felix Pogorzelski

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Abstract

We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {a_{1}+a_{2}+\cdots +a_{n}}{n}}\right)^{2}, \end{equation*} where $\{a_n\}_{n=1}^\infty$ is any sequence of non-negative real numbers.

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BibTeX RIS

Matthias Keller, Yehuda Pinchover, Felix Pogorzelski. 2016-12-18. An improved discrete Hardy inequality. https://arxiv.org/abs/1612.05913

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