包含关系绝对可和的充要条件
Necessary and sufficient conditions for inclusion relations for absolute summability
摘要:
我们得到了一组充要条件,使$| \bar{N}, p_{n} |_{k} $对$1 < k \leq s < \infty$蕴涵$|\bar{N}, q_{n} |_{s}$。利用这个结果,我们建立了几个包含定理以及条件的等价性$| \bar {N}, p_{n} |_{k}$和$|\bar{N},q_{n} |_{s}$。
英文摘要:
We obtain a set of necessary and sufficient conditions for $| \bar{N}, p_{n} |_{k} $ to imply $|\bar{N}, q_{n} |_{s}$ for $1 < k \leq s < \infty$. Using this result we establish several inclusion theorems as well as conditions for the equivalence of $| \bar {N}, p_{n} |_{k}$ and $|\bar{N},q_{n} |_{s}$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。