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arXiv math/0309419math.CA
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包含关系绝对可和的充要条件

Necessary and sufficient conditions for inclusion relations for absolute summability

B E Rhoades, Ekrem Savas

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。

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