On Copson's inequalities for $0<p<1$

Peng Gao, Huayu Zhao

Let $({\lambda }_n{)}_{n\ge 1}$ be a non-negative sequence with ${\lambda }_1>0$ and let ${\Lambda }_n={\sum }_{i=1}^n{\lambda }_i$. We study the following Copson inequality for $0<p<1$, $L>p$, \begin{align*} \sum^{\inf…